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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
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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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Hope it helps

Step-by-step explanation:

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Need help with a couple of geometry word problems. Giving 100 points, tysm if you help :) The length of a rectangle is 2 cm less than three times the width. The perimeter of the rectangle is 92 cm. Find the dimensions of the rectangle. A. 11, 31 cm B. 12, 34 cm C. 12, 38 cm D. 13, 37 cm The width and length of a rectangle are consecutive even integers (in ft.). Its perimeter is 52 ft. Find the dimensions of the rectangle. A. 24, 28 ft. B. 12, 14 ft. C. 26, 28 ft. D. 24, 26 ft. Find the measures of two supplementary angles if 5 times the measure
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Hope it helps

Step-by-step explanation:

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