Question

May I please get help with (a) u can’t seem to figure out the answers to them

Answer 1

a)

Recall, the sum of the angles in a triangle is 180 degrees. This means that

For triangle ABC,

angle A + angle B + angle C = 180

For triangle DEF,

angle D + angle E + angle F = 180

From the information given,

In triangle ABC,

angle A = 30

angle B = 52

Thus,

30 + 52 + angle C = 180

82 + angle C = 180

Subtracting 82 from both sides of the equation,

82 - 82 + angle C = 180 - 82

angle C = 98 degrees

In triangle DEF,

angle D = 22

angle E = 50

Thus,

22 + 50 + angle F = 180

72 + angle F = 180

Subtracting 72 from both sides of the equation,

72 - 72 + angle F = 180 - 72

angle F = 108 degrees