Question

an isosceles triangle is shown: what is the measure of ∠t? triangle with vertices u, t, s; sides ut and st marked equal; ∠u is 22°

Explanation:

Step1: Identify equal angles

In $\triangle TUS$, $\overline{UT} = \overline{ST}$, so $\angle U = \angle S = 22^\circ$.

Step2: Sum of triangle angles

Total angles in a triangle: $180^\circ$. Let $\angle T = x$.
$x + 22^\circ + 22^\circ = 180^\circ$

Step3: Solve for $\angle T$

$x = 180^\circ - 22^\circ - 22^\circ$
$x = 136^\circ$

Answer:

$136^\circ$