Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The angle bisector of angle $ACD$ in rhombus $ABCD$ makes a $64^\circ$ angle with the diagonal $BD$ . Find the measure of angle $BAD$

View step-by-step help

View step-by-step help

Find lengths and measures of bisected line segments and angles

Full solution

Q. The angle bisector of angle

ACD

in rhombus

ABCD

makes a

64^\circ

angle with the diagonal

BD

. Find the measure of angle

BAD

Diagonal Bisects Angle: In a rhombus, the diagonals are perpendicular bisectors of each other. So, diagonal $BD$ bisects angle $ACD$ into two equal angles.
Angle Bisector Relationship: Since the angle bisector makes a $64$ -degree angle with diagonal $BD$ , each of the two equal angles formed by the bisector and the diagonal is $64$ degrees.
Angle ACD Measurement: Therefore, the full measure of angle ACD is $64$ degrees + $64$ degrees = $128$ degrees.
Opposite Angles Equality: Now, in a rhombus, opposite angles are equal. So, angle $ACD$ is equal to angle $BAD$ .
Angle BAD Measurement: Thus, the measure of angle BAD is also $128$ degrees.

More problems from Find lengths and measures of bisected line segments and angles

Question

An angle measures

120.6^\circ

less than the measure of its supplementary angle. What is the measure of each angle?

Posted 2 months ago

Question

\newline

Name Solsantath Vecodtor

\newline

How long is this side?

Posted 27 days ago

Question

Each of these bytes can be interpreted as either a

2

’s complement number or an unsigned number. Find the decimal integer that corresponds to each interpretation.

(a)

\text{FF}

(b)

51

Posted 7 days ago

Question

The circle has center

(x, y)

, and the central angle of the shaded sector measures

\theta

degrees. The area of the shaded sector is what fraction of the area of the circle?

Posted 5 days ago

Question

ABC

34

-degree angle at

A

. The bisectors of angles

B

C

I

. What is the size of angle

BIC

Posted 1 day ago

Question

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices

4

days per week. Each of those days, they practice for

3

hours in the morning and practice again in the afternoon. They practice for a total of

20

hours each week. Which equation can you use to find

h

, the length of each afternoon practice in hours?

Posted 3 hours ago

Question

Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices

4

days per week. Each of those days, they practice for

3

hours in the morning and practice again in the afternoon. They practice for a total of

20

hours each week. Which equation can you use to find

h

, the length of each afternoon practice in hours?

Posted 3 hours ago

Question

Find the mean of the data set;

2,4,6,8,10

Posted 3 hours ago

Question

the average cost of a gallon of milk in the United Staes between the years of

1995

2018

can be modeled by the equation

P(t)=0.0004t^3 + 0.0114t^2 -0.015t + 2.6602

P(t)

represents cost, in dollars, and

t

is time in years since January

1995

,. During this time period, in what year did

P(t)

reach its maximum?

Posted 3 hours ago

Question

Determine la verdad (V) o falsedad (F) de los siguientes enunciados:

\newline

I. Para obtener los puntos cr\'iticos, en una inecuaci\'on cuadr\'atica, se igualan a cero cada factor.

\newline

\newline

X^{2}+4x > 0

, el menor valor entero positivo es

0

\newline

III. La suma de soluciones enteras en la inecuaci\'on

\newline

x^{2}-4x < 0

\newline

6\quad ( )\(\newlineIV. El producto de soluciones enteras en la inecuaci\'on

\newline

\$2x^{2}+8x < x+4\) es \(\newline\)\(\(-6\)\quad ( )\(\newline\)Luego marque la alternativa correcta:

Posted 3 hours ago