Question

From the two supplementary angles, the measure of larger angle is 64° more than of smaller. Find their measures.
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Answer 1

Let the measure of smaller angle be x
And the measure of larger angle be x+64 degree
Therefore x+x+64=180 (Supplementary angle)
2x+64=180
2x=180-64
2x=116
X=116\2
x=58
Therefore the measure of smaller angle is x=58 degree
And the measure of larger angke is x+64= 58+64 = 122 degree

Answer 2

Answer:

$x = 122 \: \: \: \: \: \: \: y = 58 \\ \\ therefore \: \: \: larger \: angle = 122 \\ \\ smaller \: angle = 58.$

Step-by-step explanation:

$larger = x \\ \\ smaller \: = y \\ \\ then \: \: \: x - y = 64 \\ \\ and \: \: \: \: x + y = 180 \\ \\ solving \: these \: \: we \: get \: \: \: \: 2x = 244 \\ \\ x = 122 \: \: \: \: \: \: \: \: \: \: \: y = 180 -1 22 = 58.$