If two angles are complementary to each other 1and measure of one angle is 50 degree , find the measure of the other angle .
Answers
Answered by
9
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{gathered} \: \: \: \: \: \: x + y = 180° \\ \: + \: \: x - y = 50 {}^{°} \\ - - - - - - - - - \\ \sf{2x = 230 {}^{°} } \end{gathered}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!!
Answered by
1
Answer:
40 because complementary angle is of 90
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