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-BARSIC- [3]
3 years ago
12

18. Find the measure of each numbered angle.

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

m∠1 = 50°, m∠2 = 90°, m∠3 = 40°, and m∠4 = 50°

Step-by-step explanation:

Angles on straight line are equal;

m \angle1 + 130 = 180

m \angle1= 180 - 130 \\ m \angle1= 50

Vertical angles are equal,

m \angle4=  m \angle \: 1= 50 \degree

Complementary angles add up to 90°.

m \angle3 + m \angle4  = 90 \degree \\ 40 + m \angle3 = 90 \degree. \\  m \angle3 = 90 \degree - 50 \degree \\ m \angle3 = 40 \degree

Angles on straight line adds up to 180°

m \angle1 + m \angle2 + m \angle3 = 180 \degree

40 + m \angle2 + 50 = 180 \\  m \angle2 = 180 - 50 - 40 = 90

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