Question

What is the measure of ∠RST ?

Answer 1

Remember that all the interior angles of a triangle add up to 180°.

The picture tells us two of the angles,
`\angle R` which is 40° and
`\angle T` which is also 40°.

Subtract the measurement of these two angles from 180° to find the measure of the third angle,
`\angle RST`:
180° - 40° - 40° = 100°.

The measure of angle RST is 100°.

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Answer: 100°

Answer 2

The measure of ∠RST is 100°

Explanation:

Given the figure in which measure of angle ∠SRT=40° and ∠STR=40°

we have to find the measure of ∠RST

In ΔSRT,

By angle sum property which states that the sum of all angles of triangle is 180°

∠SRT+∠RTS+∠RST=180°

40°+40°+∠RST=180°

80°+∠RST=180°

Subtract 80 from both sides, we get

∠RST=180°-80°=100°

The measure of ∠RST is 100°