Question

1. The measures of two complementary angles are (2x-7)° and (x+4)°. Find the value of x.

2. Two supplementary angles are in the ratio 7:8. Find the measures of the angles.

3. Prove that the bisectors of two adjacent supplementary angles are at right angles.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1) 29° 2) 96°  and 84°

Step-by-step explanation:

1)

=> 2x-7 + x + 4 = 90

=> 3x - 7 + 4 = 90

=> 3x - 3 = 90

=> 3x = 90-3

=> x = 87/3

=> x = 29°

2)

7x + 8x = 180°

15x = 180°

x = 180°/15

x = 12

Ratio = 7 : 8

Measure of angle no. 1 = 7x = 12 * 7 = 84°

Measure of angle no. 2 = 8x = 12 * 8 = 96°