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Be sure you know what complementary and supplementary angles are.
The measures of two supplementary angles are 6y + 3 and 4y - 13. Find the measures of the angles.
Select one:
a. 117 and 63
b. 19
c. 63 and 27
d. 10
Two angles are complementary. One angle measures 26 degrees more than the other. Find the measure of the two angles.
Select one:
a. 77 and 103
b. 32 and 58
c. 167 and 193
d. 76 and 104
2 answers
1)
6 y + 3° is first angle
4 y - 13° is second angle
6 y + 3° + 4 y - 13° = 180°
10 y - 10° = 180°
10 y = 180° + 10°
10 y = 190°
y = 190° / 10
y = 19°
6 y + 3° = 6 ∙ 19° + 3° = 114° + 3° = 117°
4 y - 13° = 4 ∙ 19° - 13° = 76° - 13° = 63°
117° and 63°
2)
x is first angle
x + 26° is second angle
x + x + 26° = 90°
2 x + 26° = 90°
2 x = 90° - 26°
2 x = 64°
x = 64° / 2
x = 32°
32° is first angle
x + 26° = 32° + 26° = 58° is second angle
32° and 58°
6 y + 3° is first angle
4 y - 13° is second angle
6 y + 3° + 4 y - 13° = 180°
10 y - 10° = 180°
10 y = 180° + 10°
10 y = 190°
y = 190° / 10
y = 19°
6 y + 3° = 6 ∙ 19° + 3° = 114° + 3° = 117°
4 y - 13° = 4 ∙ 19° - 13° = 76° - 13° = 63°
117° and 63°
2)
x is first angle
x + 26° is second angle
x + x + 26° = 90°
2 x + 26° = 90°
2 x = 90° - 26°
2 x = 64°
x = 64° / 2
x = 32°
32° is first angle
x + 26° = 32° + 26° = 58° is second angle
32° and 58°