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Tryout > TO-5 UTBK-SNBT SUPINT 2023/2024 > SKOLAST
PENGETAHUAN KUANTITATIF KUANTI24-13
Deskripsi Soal
Perhatikan gambar berikut!
Segiempat
ABCD terbentuk dari 4 tali busur pada lingkaran. Tentukan besar sudut
D ! Putuskan apakah pernyataan (1) dan (2) yang mengikuti soal berikut cukup untuk menjawab pertanyaan tersebut.
(1)
/_B-/_D=20
(2)
/_A-/_D=90

Tryout > TO $-5$ UTBK-SNBT SUPINT $2023$ / $2024$ > SKOLAST $\newline$ PENGETAHUAN KUANTITATIF KUANTI $24$ $-13$ $\newline$ Deskripsi Soal $\newline$ Perhatikan gambar berikut! $\newline$ Segiempat $A B C D$ terbentuk dari $4$ tali busur pada lingkaran. Tentukan besar sudut $D$ ! Putuskan apakah pernyataan ( $1$ ) dan ( $2$ ) yang mengikuti soal berikut cukup untuk menjawab pertanyaan tersebut. $\newline$ ( $1$ ) $\angle B-\angle D=20$ $\newline$ ( $2$ ) $\angle A-\angle D=90$

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Factor sums and differences of cubes

Full solution

Q. Tryout > TO

-5

UTBK-SNBT SUPINT

2023

/

2024

> SKOLAST

\newline

PENGETAHUAN KUANTITATIF KUANTI

24

-13

\newline

Deskripsi Soal

\newline

Perhatikan gambar berikut!

\newline

Segiempat

A B C D

terbentuk dari

4

tali busur pada lingkaran. Tentukan besar sudut

D

! Putuskan apakah pernyataan (

1

) dan (

2

) yang mengikuti soal berikut cukup untuk menjawab pertanyaan tersebut.

\newline

(

1

)

\angle B-\angle D=20

\newline

(

2

)

\angle A-\angle D=90

Identify Properties of Angles: Identify the properties of angles in a circle formed by intersecting chords.
Use Statement ( $1$ ): Use statement ( $1$ ) which says $\angle B - \angle D = 20$ degrees.
Use Statement ( $2$ ): Use statement ( $2$ ) which says $\angle A - \angle D = 90$ degrees.
Recognize Sum of Opposite Angles: Recognize that the sum of opposite angles in a cyclic quadrilateral is $180$ degrees.
Set Up Equation: Set up the equation using the properties of a cyclic quadrilateral: $\angle A + \angle D = 180$ degrees.
Substitute Value: Substitute the value from statement ( $2$ ) into the equation: $(\text{angle } D + 90) + \text{angle } D = 180$ .
Solve for Angle D: Solve for angle D: $2 \times \text{angle } D = 90^\circ$ .
Divide to Find Angle D: Divide both sides by $2$ to find angle $D$ : angle $D = 45$ degrees.

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