Question

If (2x + 30°) and (3x + 10°) are supplementary angles, then the value of x is –

Answer 1

Answer:

x = 28

Step-by-step explanation:

Given that (2x+30) and (3x+10) are supplementary

We know that sum of measures of supplementary angles is 180

⇒ (2x+30) + (3x+10) = 180

⇒ 2x + 30 + 3x + 10 = 180

⇒ 5x + 40 = 180

⇒ 5x = 180 - 40

⇒ 5x = 140

⇒ x = 140/5

∴ x = 28

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