Question

❥ANSWER please give


The supplement of an angle is four times the complement of the angle. Find the angle.
14. The ratio of an angle and its supplement is 5: 1. Find the angle.​


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Answer 1

Answer:

Question 1

The supplement of an angle is four times the complement of the angle. Find the angle.

Solution:-

Given:-

Supplementary Angle is four times the complement of an angle

To Find:-

The angle

Steps:-

Supplementary means 180° & Complementary means 90°

✭ The Angles

→ (180-x) = 4(90-x)

→ 180-x = 360-4x

→ 180-360 = -4x+x

→ -180 = -3x

→ -180/-3 = x

→ x = 60°

Question 2

The ratio of an angle and its supplement is 5:1. Find the angles.

Solution:-

Given:-

Supplementary Angles are of the ratio 5:1

To Find:-

The angles

Steps

We know that here the angles would add up to 180°

Assume the angles as 5x & x

✭ Value of x

→ 5x+x = 180°

→ 6x = 180°

→ x = 180/6

→ x = 30°

✭ The Angle

5x = 5×30 = 150°

x = 30°

Answer 2

Answer:

150° and 30°

Step-by-step explanation:

let the ratio be 5x : x

we know that the sum of supplementary angle is 180°.

= 5x+x=180

6x=180

x=180/6 =30

first angle=5x=5x30

150

second angle=x = 30