Question

The measures of two supplementary angles are (2x+10)° and (3x-5)°. Find x

Answer 1

2x+10+3x-5=180
5x+5=180
5x=175
x=35

Answer 2

Hey dear !!

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We know that the measure of the supplementary angles is 180⁰

Therefore,

The measures of the given angles should be 180⁰

It's means,

2x + 10 + 3x - 5 = 180⁰

5x + 5 = 180⁰

5x = 180⁰ - 5

5x = 175⁰

x = 175/5

x = 35⁰

Thus, the angles are,

2x + 10

= 2*35 + 10

= 70 + 10

= 80⁰

And,

3x - 5

= 3 * 35 - 5

= 105 - 5

= 100⁰

Thanks!!!