Question

The ratio of two angles at a point on a straight line is 7:11 . What is the measurement of each angle.​

Answer 1

Answer:

7x + 11x = 180 ( linear pair )

18x = 180

x = 180 / 18

x = 10

1. 7x = 7 × 10 = 70
2. 11x = 11 × 10 = 110

Answer 2

Answer

According to the problem:

Sum of angles of a triangle =180°

Let us consider the acute angles =11x and 7x

Implies that

180°- 90° = 11x + 7x

Implies that

90 = 11x + 7x

Implies that

90 = 18x

x = 90/18

Implies that

x = 5

Hence the acute angle is

7 × 5 = 35°

and

11 × 5 = 55°

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