Question

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x + 10) degrees, what is the value of x?

Answer 1

Answer:

Correct option is

B

90

∘

,90

∘

,90

∘

Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90

∘

Now, ∠AOD=∠COB=90

∘

(Vertically opposite angles)

⟹∠AOD+∠DOB=180

o

(Angles on a straight line)

⟹90+∠DOB=180

o

∠DOB=90

∘

∠DOB=∠AOC=90

∘

(Vertically opposite angles)

Thus, all angles are 90

∘

.