Question

In 4TRI, we have TR = TI = 6 and ∠R = 52◦
. Find the measure of ∠T?

Answer 1

Measure of ∠T = 76°

Explanation:

From the figure attached,

ΔTRI has two equal sides TR = TI = 6 units

and m∠R = 52°

Since two sides of the triangle are equal therefore, by the property of isosceles triangle, opposite angles of the equal sides will be equal.

m∠R ≅ m∠I = 52°

Since sum of all the interior angles of a triangle = 180°

m∠T + m∠R + m∠I = 180°

m∠T + 52° + 52° = 180°

m∠T = 180 - 104

m∠T = 76°

Therefore, measure of angle T will be 76°.