Question

Find the angels when two angles are supplementary and the larger is 58 more than the smaller​

Answer 1

Answer:

Sum of supplimentary angles = 180°

Let the first angle be x°

Then second angle will be x+58°

So,A/Q

x+x+58=180°

2x = 180-58

x = 122/2

x = 61°

First angle = 61°

Second angle = 61+58

= 119°

Hope it helps you

Answer 2

Answer:

Larger angle = 119°

smaller angle = 61°

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (flat angle).

Let a be larger angle and let b be smaller angle.

As shown in the figure, a and b are supplementary angles

i.e. a + b = 180 -----Eq(1)

Also, a is 58 more than b

i.e. a = 58 + b -----Eq(2)

Substituting Eq(2) in Eq(1), we get

a + b = 180

58 + b + b = 180

2b = 180 - 58

b = 122 / 2

b = 61°

Therefore smaller angle = 61°

Substitute value of b in Eq(2)

a = 58 + b

a = 58 + 61

a = 119

Therefore larger angle = 119°