Question

2. Two angles of a quadrilateral measure 155° and 125° respectively. The other two angles equal. Find
the measure of each of these equal angles

Answer 1

Answer:

155, 125, 40 and 40.

Step-by-step explanation:

Let us say that each equal angle = x.

Then, x + x + 155 + 125 = 360

2x + 280 = 360

2x = 80

x = 40

The angles are 155, 125, 40 and 40.

Answer 2

Answer: Each of the angle measures 40°

Step-by-step explanation:

In a quadrilateral sum of all the angles is 360°.

Since given that the remaining angles are equal then:

155+125+x+x = 360°  (where x is the unknown angle)

280+2x = 360°

2x = 80°

x = 40°