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select all the correct answers. triangles pqr and xyz are similar trian…

Question

select all the correct answers. triangles pqr and xyz are similar triangles. which are the other two angle measures of triangle xyz? 35° 70° 75° 95° 105°

Explanation:

Step1: Recall similar - triangles property

Similar triangles have equal corresponding angles. So, one angle of $\triangle XYZ$ is $35^{\circ}$ (corresponding to $\angle R$).

Step2: Use angle - sum property of triangle

The sum of angles in a triangle is $180^{\circ}$. Let the third angle be $\theta$. Then $\theta=180-(70 + 35)=75^{\circ}$.

Answer:

35°, 75°