Question

Geometry, help please :)
(for the picture down below v)

The measurement of angle B is ___ degrees

The measurement of angle A is ___ degrees

The measurement of angle C is ___ degrees

Answer 1

Angles B and C are both supplimentary angles with the numbers they are closest to. The sum of two supplimentary angles is always 180 degree. Therefore:

B + 45 = 180

B = 135

C + 105 = 180

C = 75

We now know two out of three of the angles for the inside of the triangle. The sum of the interior angles of a triangle is always 180. Therefore, we can solve for A.

A + 75 + 45 = 180

A = 60

Therefore A = 60, B = 135 and C = 75.

Answer 2

<B is the supplementary angle with 45°. Sum of two angles of supplementary angle always 180°.

So, <B= 180-45= 135°

Similarly <C= 180-105= 75°

<A is the vertical angle with 60° and vertical angle always be equal.

So, <A=60°