Question

Two supplementary angles differ by 180. Find the measure of each angle​

Answer 1

Step-by-step explanation:

Here's the answer

Let the two angles be x and y.

We know tha

Supplementary angles measure 180°

Therefore,

x + y = 180° ... eq. (1)

Now,

According to the given condition,

x - y = 50° ... eq. (2)

Now,

Adding eq (1) and eq (2) ,

We get ,

\begin{lgathered}\: \: \: \: \: \: x + y = 180° \\ \: + \: \: x - y = 50 {}^{°} \\ - - - - - - - - - \\ \sf{2x = 230 {}^{°} }\end{lgathered}

x+y=180°

+x−y=50

°

−−−−−−−−−

2x=230

°

\sf{x = 115°}x=115°

Now,

As x - y = 50°,

Putting value of x in eq. (2),

115 - y = 50°

y = 115° - 50°

y = 65°

Thus,

We got values of x and y -

x = 115°

y = 65°

Thanks!!

Answer 2

90 degree
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