Question

Delta math: Angle Terminology with Equations

Answer 1

Supplementary angles have sum 180°

• 7x-15+2x-3=180
• 9x-18=180
• 9x=198
• x=198/9
• x=22

m<A

• 7(22)-15=154-15
• 139

Answer 2

m∠A = 139°

Explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x = 198

9x/9 = 198/9

x = 22

Hence, Angle A will have a measure of 7x - 15 which means 7 × 22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

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