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Mathematics : asked on fish64
 15.04.2022

An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle

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09.07.2023, solved by verified expert
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Rajat Thapa
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Mathematics, DAV Post Graduate College
5 231 answers
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Given :

An angle which measures less 64° the measure of its supplementary angle.

⠀

To Find :

The measure of its supplementary angle.

⠀

Solution :

Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .

Now,

⠀

According to the Question :

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

An angle measures 64° less than the measure of, №18010788, 15.04.2022 17:28

⠀

Therefore,

One angle = 122°Other angle = 122° – 64° = 58°

⠀

⠀

Henceforth ,

The measure of the two angles are 122° and 58° .
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Mathematics
An angle measures 64° less than the measure of its supplementary angle what is the measure of each angle
Step-by-step answer
P Answered by Master

Given :

An angle which measures less 64° the measure of its supplementary angle.

⠀

To Find :

The measure of its supplementary angle.

⠀

Solution :

Let's assume the one of the supplementary angle as x and the other angle as (x - 64)° .

Now,

⠀

According to the Question :

\longrightarrow\qquad \sf{{x + (x - 64) {}^{ \circ} = {180}^{ \circ} }}

\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}

\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}

\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}

\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}

\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}

\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}

⠀

Therefore,

One angle = 122°Other angle = 122° – 64° = 58°

⠀

⠀

Henceforth ,

The measure of the two angles are 122° and 58° .
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Step-by-step explanation:

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Hope it helps

Step-by-step explanation:

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