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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. - Mathematics

Sum

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.

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Solution

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 x 18° and 7 x 18° i.e. 90° and 126°

Concept: Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (C) | Q 2 | Page 187
Selina Class 6 Mathematics
Chapter 27 Quadrilateral
Exercise 27 (A) | Q 2
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