Question

if the measure of the two complementary angles are 2x and 7 x find the value of x​

Answer 1

Answer :-

• Value of 'x' = 10°

Given :-

• Measure of first angle = 2x
• Measure of second angle = 7x

To Find :-

• The value of 'x'

Explanation :-

As we know, The sum of 2 complementary angles is 90°

$\implies \rm 2x + 7x = 90^\circ$

$\implies \rm 9x = 90^\circ$

$\implies \rm x = \dfrac{90^\circ}{9}$

$\boxed {\implies \rm \bold {x = 10^\circ}}$

Now, substituting the value of 'x'

➣ 2x = 2(10) = 20°

➣ 7x = 7(10) = 70°

Hence, the two angles of complementary angles are 20° and 70° respectively, and the value of 'x' is 10°

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@Agamsain

Answer 2

Answer :-

Value of 'x' = 10°

Given :-

Measure of first angle = 2x

Measure of second angle = 7x

To Find :-

The value of 'x'

Explanation :-

As we know, The sum of 2 complementary angles is 90°

$\implies \rm 2x + 7x = 90^\circ$

$\implies \rm 9x = 90^\circ$

$\implies \rm x = \dfrac{90^\circ}{9}$

$\boxed {\implies \rm \bold {x = 10^\circ}}$

Now, substituting the value of 'x'

➣ 2x = 2(10) = 20°

➣ 7x = 7(10) = 70°

Hence, the two angles of complementary angles are 20° and 70° respectively, and the value of 'x' is 10°

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