Question

question 4 not yet answered marked out of 2.00 flag question which are the correct measures for <yxz and <xzy? select one: a. <yxz = 53°, <xzy = 81° b. <yxz = 63°, <xzy = 91° c. <yxz = 63°, <xzy = 81° d. <yxz = 53°, <xzy = 91°

Explanation:

Step1: Find measure of $\angle YXZ$

$\angle YXZ$ and the $117^{\circ}$ angle are supplementary. So $\angle YXZ=180 - 117=63^{\circ}$.

Step2: Find measure of $\angle XZY$

In $\triangle XYZ$, we know $\angle Y = 36^{\circ}$ and $\angle YXZ = 63^{\circ}$. Using the angle - sum property of a triangle ($\angle Y+\angle YXZ+\angle XZY = 180^{\circ}$), we have $\angle XZY=180-(36 + 63)=81^{\circ}$.

Answer:

C. $\angle YXZ = 63^{\circ},\angle XZY = 81^{\circ}$