Question

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answer 1

Explanation:

1)

Since we know that sum of two complementary angles are 90⁰

=> 65 + 5x = 90

=> 5x = 90 - 65

=> 5x = 35

=> x = 35/5

=> x = 7⁰

2)

Since we know that sum of two supplementary angle are 180

=> 2x + 6x + 20 = 180

=> 8x = 180 - 20

=> 8x = 160

=> x = 160/8

=> x = 20

Answer 2

• 7) x = 5
• 8) x = 20

Explanation:

Complementary angles form a right angle and supplementary angles form a straight angle.

#7

Complementary:

• 65 + 5x = 90
• 5x = 25
• x = 5

#8

Supplementary:

• 2x + 6x + 20 = 180
• 8x = 160
• x = 20