Qstnid -C-2- Two Angles Of A Quadrilateral Are 68° And 76°. If The Other Two Angles Are In The Ratio 5:7; Find The Measure Of Each Of Them. - 16: Understanding Shapes (Including Polygons) Class 8 Maths - Icse-viii-mathematics

Home Learn Fast select Course

Show Unit/Chapter Change Unit Change Subject Last Menu

ICSE-VIII-Mathematics

16: Understanding Shapes (Including Polygons) Class 8 Maths

with Solutions - page 6

Qstn# C-2 Prvs-Qstn Next-Qstn

#2
Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5:7; find the measure of each of them.
Ans : Two angles are 68° and 76°
Let other two angles be 5x and 7x
68° + 76°+ 5x + 7x = 360°
⇒ 12x + 144° = 360°
⇒ 12x = 360° - 144°
⇒ 12x = 216°
⇒ x = 18°
angles are 5x and 7x
i.e. 5×18° and 7×18° i.e. 90° and 126°