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Topimon core 7
Less 12: Angles and Triangles
Name C-lliana
Date प1412024
Period
Use this diagram to answer the questions that follow:
4) If the
m < 1 is
2x+10 and the
m < 3 is
120^(@), determine the value of
x.

Topimon core $7$ $\newline$ Less $12$ : Angles and Triangles $\newline$ Name C-lliana $\newline$ Date प $1412024$ $\newline$ Period $\newline$ Use this diagram to answer the questions that follow: $\newline$ $4$ ) If the $m<1$ is $2 x+10$ and the $m<3$ is $120^{\circ}$ , determine the value of $x$ .

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Unions and intersections of sets

Full solution

Q. Topimon core

7

\newline

Less

12

: Angles and Triangles

\newline

Name C-lliana

\newline

Date प

1412024

\newline

Period

\newline

Use this diagram to answer the questions that follow:

\newline

4

) If the

m<1

is

2 x+10

and the

m<3

is

120^{\circ}

, determine the value of

x

.

Understand angles relationship: Understand the relationship between the angles. $\newline$ In a triangle, the sum of the measures of the interior angles is always $180$ degrees. If $m < 1$ and $m < 3$ are angles in the same triangle, their measures should add up to less than $180$ degrees, since they are not the only angles in the triangle.
Set up equation: Set up the equation based on the given information. $\newline$ We are given that $m < 1$ is $2x+10$ and $m < 3$ is $120$ degrees. Assuming that these two angles are part of the same triangle, we can set up the following equation: $\newline$ $2x + 10 + 120 = 180$
Solve for x: Solve for x. $\newline$ Now we will solve the equation for x: $\newline$ $2x + 10 + 120 = 180$ $\newline$ $2x + 130 = 180$ $\newline$ $2x = 180 - 130$ $\newline$ $2x = 50$ $\newline$ $x = \frac{50}{2}$ $\newline$ $x = 25$

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