Question

6. The measure of the supplement of an angle is 60° more than twice the measure of the angle. Find the me
5. The measure of an angle is 30° less than the measure of its suppleme
of the angle
7. An angle is 18° more than its complement. Find the angle.​

Answer 1

Answer:

1) The sum of the supplementary angles = 180°

Let one of the angles be "a".

According to the question, the supplementary angle = 60° + 2a

⇒ 60° + 2a + a = 180°

⇒ 3a = 120°

⇒ a = 40°

2) measure of the angle is 75°

Step-by-step explanation:

Let the measure of the angle is x.

Two angle are supplement if they adds to 180 degrees.

Therefore, the supplement of the angle x is (180-x)

Now, it has been given that measure of an angle is 30 degree less than its supplement.

Thus, we have

x = 180 - x - 30

Solve the equation for x

2x = 150

x = 75°

3) let the first angle be x

another angle is x+18

now x+x+18 is 90

2x+18=90

2x= 72

x=72/2

=36

x=36

x-18= 54

Step-by-step explanation:

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