Q11 of 153 Page 118

Two lines AB and CD intersect at a point O such that + =280°, as shown in the figure. Find all the four angles.

=140°,=40°, = 140°, ∠BOD = 40°


Given lines AB and Cd intersect at a point O and + =280°


= (Opposite angle)


⇒ + = 280°


⇒ + = 280°


⇒ 2 = 280°


⇒ = 140°


= = 140°


Now,


+ = 180° (Because AOB is a straight line)


⇒ + 140° = 180°


⇒ = 40°


= ∠BOD = 40°


More from this chapter

All 153 →
9

Two adjacent angles on a straight line are in the ratio 5:4 Find the measure of each one of these angles.

 10

If two straight lines intersect each other in such a way that one of the angles formed measure 90°, show that each of the remaining angles measures 90°.

 12

In the given figure, ray OC is the bisector of and OD is the ray opposite to OC. Show that =.

 13

In the given figure, AB is a mirror; PQ is the incident ray and QR, the reflected ray. If =112°, Find .