Question

In the figure above, what is the ratio of the measure of angle B to the measure of angle A?

• A. 2 to 3
• B. 3 to 4
• C. 3 to 5
• D. 4 to 5
• E. 5 to 6

Answer 1

The correct option is D 4 to 5

Using angle sum property

$\angle A+\angle B+\angle C={180}^{\circ }\Rightarrow {(y+10)}^{\circ }+y^{\circ }+{90}^{\circ }={180}^{\circ }\Rightarrow 2y={180}^{\circ }-{100}^{\circ }\Rightarrow y={40}^{\circ }$

So the angles are

$\angle A=y+{10}^{\circ }={50}^{\circ }\angle B=y={40}^{\circ }\Rightarrow \angle B:\angle A=4:5$