Q3 of 115 Page 8

Two straight lines AB and CD intersect one another at the point O. If ∠AOC+∠COB+∠BOD = 274°, then ∠AOD =

Given,

∠AOC + ∠COB + ∠BOD = 274o (i)


∠AOD + ∠AOC + ∠COB + ∠BOD = 360o (Angles at a point)


∠AOD + 274o = 360o


∠AOD = 86o

More from this chapter

All 115 →
1

One angle is equal to three times its supplement. The measure of the angle is

 2

Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is

 4

Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, the ∠BOC =

 5

Consider the following statements:

When two straight lines intersect:


(i) 0Adjacent angles are complementary


(ii) Adjacent angles are supplementary.


(iii) Opposite angles are equal.


(iv) Opposite angles are supplementary.


Of these statements