Question

Two supplementary angles differ by 20°. The smaller of the two measures

Answer 1

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1st angle → 80°

2nd angle → 100°

Step-by-step explanation:

Let the measure of 1st angle be x

Given, two supplementary angles differ by 20°

So, let the 2nd angle be x + 20

Supplementary angles are those angles which add upto 180° Like 160° and 20°, 100° and 80°, etc.

According to the question,

x + x + 20 = 180

→ 2x + 20 = 180

→ 2x = 180 - 20

→ 2x = 160

→ x = 80

1st angle → x

→ 80°

2nd angle → x + 20

→ 80 + 20

→ 100°

Answer 2

HEY MATE !!

Answer:

1st angle → 80°

2nd angle → 100°

Step-by-step explanation:

Let the measure of 1st angle be x

Given, two supplementary angles differ by 20°

So, let the 2nd angle be x + 20

Supplementary angles are those angles which add upto 180° Like 160° and 20°, 100° and 80°, etc.

According to the question,

x + x + 20 = 180

→ 2x + 20 = 180

→ 2x = 180 - 20

→ 2x = 160

→ x = 80

1st angle → x

→ 80°

2nd angle → x + 20

→ 80 + 20

→ 100°

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