"To write: The plan to prove ∠1=∼∠2. Given:..." solved and explained - Plainmath

babeeb0oL

Answered question

2021-07-16

To write: The plan to prove

∠ 1 \tilde{=} ∠ 2

.
Given:
The given figure is as follows.

Answer & Explanation

Neelam Wainwright

Skilled2021-07-17Added 102 answers

Calculation:
First by SSS Congruence Theorem to prove

△ V S X \tilde{=} △ Z S X

.
By Vertical Angles Theorem

∠ V S R \tilde{=} ∠ T S Z

then by SAS Congruence Theorem to prove

△ V S R \tilde{=} △ T S Z

.
Since the corresponding parts of congruent triangles are congruent. So

∠ V R S \tilde{=} ∠ Z T S

.
Therefore, it is proved that

∠ 1 \tilde{=} ∠ 2

.

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