Math, asked by renurawat1401, 5 months ago

2. The ratio of the measures of the supplementary angle to the complementary
angle of a given angle is 8:3. What will be the ratio of the angle to its
supplementary angle?
(2) 1:3 (3) 1:4
(1) 4:1
(4) 1:2

please give step by step explanation​

Answers

Answered by Anonymous
26

Given:

  • Angle in ratio = 8 : 3

To Find:

  • Supplementary angle.

Solution:

☯ Let the angle be "x".

  • Supplementary angle = 180 - x
  • Complementary angke = 90 - x

According to the given condition,

→ 180 - x / 90 - x = 8 / 3

Cross multiply

→ 3(180 - x) = 8(90 - x)

→ 540 - 3x = 720 - 8x

→ 5x = 720 - 540

→ 5x = 180

Divide both the sides by 5

→ x = 36

The measure of the angle is 36°

★ Supplementary angle ➾ 180 - x

→ 180 - 36

→ 144°

Ratio of the angle to its supplementary angle

→ 36 / 144 [Divide by 36]

→ 1 / 4

1 : 4

Hence,

  • Ratio of its supplementary angle = 1 : 4
  • Therefore, option (3) is correct.

Anonymous: Wonderful❣
Anonymous: Thankuu :pikachu_dancing:
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