If two complementary angles measure x and 2 x -15- find the measure of each angle-A- 25- and 65-B- 15- and 75-C- 22-5- and 67-5-D- 20- and 70-

The correct option is A 25^∘ and nbsp;65^∘Sum of complementary angles = 90^∘ x + 2x + 15 = nbsp;90^∘ 3x = nbsp;75^∘ x = nbsp;25^∘ Hence, the two angles ...

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Standard VII

Mathematics

Complementary Angles

If two comple...

Question

If two complementary angles measure x and 2x + 15, find the measure of each angle.

20^{\circ}

and

70^{\circ}

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{22.5}^{\circ}

and

{67.5}^{\circ}

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25^{\circ}

and

65^{\circ}

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15^{\circ}

and

75^{\circ}

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Solution

The correct option is C $25^{\circ}$ and $65^{\circ}$
Sum of complementary angles = $90^{\circ}$
x + 2x + 15 = $90^{\circ}$
3x = $75^{\circ}$
x = $25^{\circ}$
Hence, the two angles are $25^{\circ}$ and $65^{\circ}$ .

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If two complementary angles measure x and 2x + 15, find the measure of each angle.

The correct option is C 25∘ and 65∘Sum of complementary angles = 90∘ x + 2x + 15 = 90∘ 3x = 75∘ x = 25∘ Hence, the two angles are 25∘ and 65∘.

The correct option is C $25^{\circ}$ and $65^{\circ}$
Sum of complementary angles = $90^{\circ}$
x + 2x + 15 = $90^{\circ}$
3x = $75^{\circ}$
x = $25^{\circ}$
Hence, the two angles are $25^{\circ}$ and $65^{\circ}$ .