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borishaifa [10]
3 years ago
5

What is mZS? Enter your answer in the box Next

Mathematics
1 answer:
sladkih [1.3K]3 years ago
3 0

m∠S = 45°

Solution:

Given ∠R = 3x°, ∠S = 2x°, ∠T = 3x°.

Sum of the angles of a triangle = 180°

⇒ m∠R + m∠T + m∠S = 180°

⇒ 3x° + 3x° + 2x° = 180°

Adding all the angles.

⇒ 8x° = 180°

Divide both sides of the equation by 8, we get

⇒ x° = 22.5°

Substitute x = 22.5° in m∠S.

⇒ m∠S = 2 × 22.5°

⇒ m∠S = 45°

Hence, m∠S = 45°.

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