180° What 15 DE JUis a1. In the figure, ABC is a triangle andpoint in

1.	180° What 15 DE JUis a1. In the figure, ABC is a triangle andpoint in it. OP and OQ are drawnperpendicular to the sides AB and BCrespectively. If ZB = 65 find ZPOQ13)805
Answer» In given fig. POBQ is a quadrilateral We know sum of all angles of a quadrilateral is 360° Thus,65 + 90 + 90 + <POQ = 360<POQ = 360 - (180 + 65) = 360 - 245 = 115°

180° What 15 DE JUis a1. In the figure, ABC is a triangle andpoint in it. OP and OQ are drawnperpendicular to the sides AB and BCrespectively. If ZB = 65 find ZPOQ13)805

Answer»

In given fig. POBQ is a quadrilateral

We know sum of all angles of a quadrilateral is 360°

Thus,65 + 90 + 90 + <POQ = 360<POQ = 360 - (180 + 65) = 360 - 245 = 115°