Question

Consider two angles - $\angle$ABC and $\angle$XYZ. Following information is given about the angles:

Based on this information, which of the following can NOT be the numerical value of $\angle$XYZ?

• A. 89°
• B. 91°
• C. 175°
• D. 179°

Answer 1

The correct option is A

89°

Given that, $\angle$ABC and $\angle$XYZ are supplementary,

i.e., $\angle$ABC + $\angle$XYZ = ${180}^{\circ }$.
If both the angles are equal, then $\angle$ABC = $\angle$XYZ = ${90}^{\circ }$.

Since $\angle$ABC is acute, $\angle$ABC < ${90}^{\circ }$.

Therefore, $\angle$XYZ > ${90}^{\circ }$.