Answer :
So,
Let x represent the first angle and y represent the second angle.
x + y = 90
x = y + 26
Substitute
y + 26 + y = 90
Collect Like Terms
2y + 26 = 90
Subtract 26 from both sides
2y = 64
Divide both sides by 2
y = 32
Substitute
x = 32 + 26
x = 58
Check
58 + 32 = 90
90 = 90 This checks.
58 = 32 + 26
58 = 58 This also checks.
The measure of one angle is 58° and the measure of the other angle is 32°.
Let x represent the first angle and y represent the second angle.
x + y = 90
x = y + 26
Substitute
y + 26 + y = 90
Collect Like Terms
2y + 26 = 90
Subtract 26 from both sides
2y = 64
Divide both sides by 2
y = 32
Substitute
x = 32 + 26
x = 58
Check
58 + 32 = 90
90 = 90 This checks.
58 = 32 + 26
58 = 58 This also checks.
The measure of one angle is 58° and the measure of the other angle is 32°.
