Question

1. the triangle above is a select which angle is the angle that is not the same as the others (vertex angle)? select which two angles would be the same (base angles)? select u = select ° t = select °

Explanation:

Step1: Identify triangle type

The triangle has two equal - side lengths (marked with the same tick marks), so it is an isosceles triangle.

Step2: Determine non - equal angle

In an isosceles triangle, the angle opposite the non - equal side is the non - equal vertex angle. So $\angle Y$ is the non - equal vertex angle.

Step3: Determine equal angles

The base angles of an isosceles triangle are equal. So $\angle X$ and $\angle Z$ are the base angles.

Step4: Calculate angle measures

In a triangle, the sum of interior angles is $180^{\circ}$. Let $\angle Z = 34^{\circ}$, and since $\angle X=\angle Z$ in an isosceles triangle, $\angle X = 34^{\circ}$. Then $\angle Y=180^{\circ}-34^{\circ}-34^{\circ}=112^{\circ}$. So $u = 112$ and $t = 34$.

Answer:

The triangle above is a isosceles triangle.
Which angle is the angle that is not the same as the others (vertex angle)? $\angle Y$
Which two angles would be the same (base angles)? $\angle X$ and $\angle Z$
$u = 112$
$t = 34$