Question

Complete the statements to find the measurements of ∠a and ∠b .

Answer 1

Answer:

1. 120

2. 60

3. 60,60

4. 60

Step-by-step explanation:

Hello :)

This is a fairly easy question if we work it through step by step. Let's get to it!

Adjacent angles are two angles that have a common side and a common vertex, and they both equal to 180 degrees. In this case with angle a and 120 degree angle, they are both adjacent angles.

So in the first box, angle a and the 120 degrees would equal to 180 degrees.

Solve for angle a and you get 60 degrees.

To find the angle for b, we have to adknowledge that all triangles have an overall angle of 180 degrees. Since a is 60 and c is 60, the only answer left is 60 for angle b also.

Answer 2

#a

Applying supplementary angles theorem

$\\ \tt\longmapsto m<a+120=180$

$\\ \tt\longmapsto m<a=60$

#b

• Apply Angle sum property

$\\ \tt\longmapsto m<b+60+60=180$

$\\ \tt\longmapsto m<b+120=180$

$\\ \tt\longmapsto m<b=60$