Question

Two angles measure (30-x)and (125+2x) if each one is supplement of the other . find the value of x

Answer 1

Given,

Angles = 30 - x and 125 + 2x

Sum of supplementary angles = 180

30 - x + 125 + 2x = 180

155 + x = 180

x = 180 - 155

x = 25


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Answer 2

Answer:

The value of x is $25^{\circ}$.

Step-by-step explanation:

Two angles exist named supplementary when their measures add up to 180 degrees. One way to avoid mixing up these definitions exists to note that s arrives after c in the alphabet, and 180 exists greater than 90.

In geometry, two angles whose measures sum to 180 degrees exist supplementary. These angles may convey a common side, a common vertex, or carry no points in common.

The Sum of supplementary angles is $180^{\circ}$

$&\therefore(30-\mathrm{x})^{\circ}+(125+2 \mathrm{x})^{\circ}=180^{\circ}$

$&\Rightarrow \mathrm{x}+155^{\circ}=180^{\circ}$

$&\Rightarrow \mathrm{x}=180^{\circ}-155^{\circ}=25^{\circ}$

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