Question

Help me on these questions pleasee.​

Answer 1

(b)

The 50 degree angle and angle b are vertical angles, which means they are congruent.

The 50 degree angle and angle c are a linear pair, which means that they are supplementary/add up to 180 degrees.

Angles a and c are vertical angles, which means they are congruent.

a = 130

b = 50

c = 130

(c)

The 90 degree angle and angle b are vertical angles, which means they are congruent.

The 50 degree angle and angle c are vertical angles, which means they are congruent.

The 50 degree angle, 90 degree angle, and angle d all form a line, which means that they are supplementary and add up to 180.

Angle d and angle a are vertical angles, which means they are congruent.

a = 40

b = 90

c = 50

d = 40

(e)

The measure of a circle is 360 degrees. These three angles form a circle, so therefore if we add them all up, they will equal 360 degrees.

3a + 4a + 5a = 360

12a = 360

a = 30

(f)

The measure of a circle is 360 degrees. These four angles form a circle, so therefore if we add them all up, they will equal 360 degrees.

3a + 4a + 5a + 6a = 360

18a = 360

a = 20

Hope this helps!! :)