Hello!
Angle POQ and angle MON are vertical which means they are congruent
x - 28 = 149
Add 28 to both sides
x = 177
Angle NOQ and angle NOM are supplementary meaning they add to 180
NOQ + NOM = 180
Put in the known angle
NOQ + 149 = 180
Subtract 149 from both sides
NOQ = 31
The answers are x = 177 and angle NOQ = 31
Hope this helps!
Answer:
It's 7!
Step-by-step explanation:
I think BEA is adjacent to it
Answer:
(a, b, c) = (30°, 60°, 105°)
Step-by-step explanation:
Angle "a" and 30° are vertical angles, hence equal.
Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.
Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.
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Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...
a+b = 180°-90° = 90°
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75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.
