The measure of two supplementary angles are 3 x-15- and 2 x-5- Find the value of x-A- 32-B- 31-C- 62-D- 36-

The correct option is A 32^∘ Two angles are supplementary if their sum is 180^∘. ⇒ nbsp; nbsp;(3x + 15)^∘ + nbsp;(2x + 5)^∘ = nbsp;180^∘ ⇒ nbsp;(5x + ...

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Byju's Answer

Standard VII

Mathematics

Complementary and Supplementary Angles

The measure o...

Question

The measure of two supplementary angles are $(3 x + 15)^{\circ}$ and $(2 x + 5)^{\circ}$ . Find the value of x.

$32^{\circ}$

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$31^{\circ}$

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$62^{\circ}$

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$36^{\circ}$

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Solution

The correct option is A
$32^{\circ}$

Two angles are supplementary if their sum is $180^{\circ}$ .

$\Rightarrow (3 x + 15)^{\circ} + (2 x + 5)^{\circ} = 180^{\circ}$

$\Rightarrow (5 x + 20)^{\circ} = 180^{\circ}$

$\Rightarrow 5 x^{\circ} = (180 - 20)^{\circ}$

$\Rightarrow 5 x^{\circ} = 160^{\circ}$

$\Rightarrow x^{\circ} = (\frac{160}{5})^{\circ}$

$\Rightarrow x^{\circ} = 32^{\circ}$

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The measure of two supplementary angles are (3x+15)∘ and (2x+5)∘. Find the value of x.

The correct option is A 32∘ Two angles are supplementary if their sum is 180∘. ⇒(3x+15)∘+(2x+5)∘=180∘ ⇒(5x+20)∘=180∘ ⇒5x∘=(180−20)∘ ⇒5x∘=160∘ ⇒x∘=(1605)∘ ⇒x∘=32∘

The measure of two supplementary angles are $(3 x + 15)^{\circ}$ and $(2 x + 5)^{\circ}$ . Find the value of x.