What is the measure of angle r in triangle RST?

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07-12-2022
Mathematics

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What is the measure of angle r in triangle RST?

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HafsaM HafsaM · Answer 1 · 2022-12-10T02:18:41-05:00

The measure of angle R in triangle RST is 40°.

Given that triangle RST is isosceles triangle,

that means two of its angles are equal.

Also the measure of angle T is 100°

since no other angle can be equal to 100° because in this case the sum of the angles will be more than 180°

so the other two angles R and S are equal.

⇒ ∠R + ∠S + ∠T = 180°

∠R + ∠R + 100° = 180°

2∠R = 180 - 100

∠R = [tex]\frac{80}{2}[/tex]

∠R = 40°.

Therefore measure of angle R in triangle RST is 40°.

An Isosceles triangle is a triangle that has any two sides equal in length and angles opposite to equal sides are equal in measure. An Isosceles triangle is a triangle which has two congruent sides. And in isosceles triangle if the two sides of a triangle are congruent, then the angle opposite to them are also congruent.

Given question is incomplete. Complete question is:

If the measure of ∠T is 100°. What is the measure of angle R in isosceles triangle RST?

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