Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In triangle XYZ, ∠Y is the smallest angle and ∠Y = 25 degree. If the ratio of the angle is 20 : 11 : 5, then what is the largest angle of ΔXYZ 

Options:

80 degree

85 degree

95 degree

100 degree

Correct Answer:

100 degree

Explanation:

In triangle XYZ. \(\angle\)Y is the smallest angle and \(\angle\)Y = \({25}^\circ\).

The ratio of the angle is 20 : 11 : 5

Now, the measure of the largest angle of \(\Delta \)XYZ = \({25}^\circ\) x \(\frac{20}{5}\) = \({100}^\circ\).

Therefore, the largest angle of \(\Delta \)XYZ is \({100}^\circ\).