Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

From the figure, find x.

Options:

65

70

75

45

Correct Answer:

70

Explanation:

In ΔACO,

∠ACO + ∠CAO + ∠AOC = 180o

= 45o + 90o + ∠AOC = 180o

∠AOC = 45o

∠AOC = ∠DOB = 45o ( vertically opposite angles )

In ΔDOB,

∠DOB + ∠DBO + ∠OBD = 180o

= 45o + xo + 65o = 180o

x = 70o