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For Questions 12-16, find the measure of each angle.

12. m<1
13. m<2
14. m<3
15. m<4
16. m<5

For Questions 12-16, find the measure of each angle. 12. m<1 13. m<2 14. m&lt-example-1

1 Answer

3 votes

The measure of each angle is

angle1 = 60⁰

angle2 = 50⁰

angle3 = 50⁰

angle4 = 90⁰

angle5 = 40⁰

How to determine the measure of the numbered angles.

From the figure

60 + 70 + angle3 = 180(sum of angles in a triangle)

130 + angle3 = 180

angle3 = 180 - 130

angle3 = 50⁰

angle1 = 60⁰( alternate angles)

angle2 + angle1 + 70 = 180

angle2 + 60 +70 = 180

angle 2 + 130 = 180

angle2 = 180-130

= 50⁰

angle5 + angle2 = 90(complementary angles)

angle5 + 50 = 90

angle5 = 90-50

= 40⁰

angle4 + 90 = 180(same side interior angles)

angle4 = 180 - 90

= 90⁰

The measure of each angle is

angle1 = 60⁰

angle2 = 50⁰

angle3 = 50⁰

angle4 = 90⁰

angle5 = 40⁰

User Girish Arora
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