The measure of ∠STR in the isosceles triangle is 24°
What is an isosceles triangle?
A triangle having two sides of equal length is termed as an isosceles triangle. The base angles of an isosceles triangle are also equal in measure. The fact that the perpendicular bisector of the base and the angle bisector of the vertex angle are the same is another crucial characteristic of an isosceles triangle. We refer this as Isosceles Triangle Theorem.
What is the value of angle STR?
It is given that in isosceles triangle SQT,
∠STQ = 48°
Since, the line TR is the angle bisector of angle STQ, we have,
∠STR = ∠RTQ
And, ∠STR + ∠RTQ = ∠STQ
Let ∠STR be x, the, we get,
x + x = ∠STQ
⇒ 2x = 48°
⇒ x = 24°
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