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What is m∠S? Enter your answer in the box. °

What is m∠S? Enter your answer in the box. °-example-1
User Luke Kroon
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2 Answers

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it's 45 degree use some of the angles in a triangle formula and it's 8x=180 i.e 22.5 and for s=2*22.5
User MagnusMTB
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Answer:

∠S=45°

Explanation:

From the given figure, ∠R=3x°, ∠S=2x° and ∠T=3x°

Now, using the angle sum property of triangles in ΔRST, we have


{\angle}R+{\angle}S+{\angle}T=180^(\circ)


3x+2x+3x=180


8x=180


x=22.5^(\circ)

Therefore, the measure of ∠S is:


{\angle}S=2x=2(22.5)


{\angle}S=45^(\circ)

Hence, the value of the measure of ∠S is 45°.

User Ekalavya
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