Two supplementary angles differ by 50°.The larger angle is
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Since the angles are supplementary the second angle must be 180°-26° = 154°. 2. The second angle is 4n+50 degrees. Since n=26° 4n 50 is (4 x 26°)+50° = 154°.
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Let us take x and y as the supplementary angles.
Now,
(I am assuming that you know what supplementary angles mean.)
x + y = 180 ————(1)
Now, according to the question,
x - y = 50 ————(2)
Adding Equation (1) and (2), we get,
2x = 230
Therefore, x = 115
Putting this value x in eqn.2, we get
Y=65
Hence, the measure of two angles are
115° and 65°.
Hope it helps !
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