Question

If one angle is 10 degree ,mpre than its supplement find its value

Answer 1

Answer :-

• Measure of the angle is 95°.

Given :-

• An angle is 10° more than it's supplement.

To Find :-

• Value of the angle.

Solution :-

Let

• The angle be x
• It's complement will be x + 10

As we know that

• Sum of two supplementary angles is 180°.

According to question :-

⇒ x + (x + 10) = 180

⇒ x + x + 10 = 180

⇒ 2x + 10 = 180

⇒ 2x = 180 - 10

⇒ 2x = 170

⇒ x = 170/2

⇒ x = 85

Now

• It's supplement = x = 85°
• The angle = x + 10 = 85 + 10 = 95°

Hence, the measure of the angle is 95°.

Answer 2

$\large{\sf{\underline{Given\::}}}$

• One angle is 10° more than its supplement

$\large{\sf{\underline{To\:Find\::}}}$

• Value of the angles

$\large{\sf{\underline{Solution\::}}}$

• Let the angle be x , then its supplement will be x + 10°
• Supplementary angles are of measure 180°

$\bigstar \: \large{\sf{\underline{\red{According\:to\:the\:question}}}}$

$\leadsto \sf x\:+\:x\:+\:10°\:=\:180°$

$\leadsto \sf 2x\:=\:180°\:-\:10°$

$\leadsto \sf 2x\:=\:170°$

$\leadsto \sf x\:=\: \cancel \dfrac{170°}{2}$

$\leadsto \sf x\:=\:85°$

• Value of the angle is 85°

• Value of supplementary angle is x + 10° i.e. 85° + 10° = 95°

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