Question

One angle of a quadrilateral is 150

°and other three angles are equal. What is

the measure of each of these equal angles ?​

Answer 1

Answer:

70°

Step-by-step explanation:

sum of the angles of quadrilateral = 360°

one angle is 150°

sum of the angles of quadrilateral = x°+y°+z°+150°=360°

x°+y°+z°=360°-150°

x°+y°+z°=210°—equation 1

given,

three angles are equal

then

x°=y°=z°—equation 2

then equation 1

x°+y°+z°=210°

3x°=210° (Since from equation 2)

x°=210/3

x°=70°

x°=y°=z°=70°