Question

Calculate the value of the exterior angle

Answer 1

95

3.57

10

1.4

Answer 2

There is a theorem that states:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of the remote interior angles.

Answer 3

Do you understand what that means?

Answer 4

the exterior angle is equal to the sum of the opposite interiod angles

so

8x + 15 = 3x + 20 + 4x + 5

or

8x + 15 = 7x + 25

just solve for x

Answer 5

10?

Answer 6

10 @campbell_st

Answer 7

makes sense to me... that's the value of x

but you need the measure of the exterior angle...

Answer 8

In a triangle there are no opposite angles. A side and an angle can be opposite, but the term opposite does not apply to two angles of a triangle. The term remote interior angle means that the interior angle is not adjacent to the exterior angle.



At each vertex of a triangle, there is one interior angle and two exterior angles. For angle 4, an exterior angle, angle 3 is an adjacent interior angle. Angles 1 and 2 are the remote interior angles of exterior angle 4.

Answer 9

95 @campbell_st

Answer 10

Correct.

Answer 11

that would be my answer