Question

Square M N O P is shown. Angle M is (4 t + 20) degrees and angle N is (7 f + 6) degrees.

MNOP is a square. What are the values of t and f?


t =


f =

Answer 1

t=17.5

f=12

Explanation:

Answer 2

t = 17.5°

f = 12°

Explanation:

MNOP is a square and the angle M is (4t + 20)° and the angle N is (7f + 6)°. The value of t and f can be calculated below.

A square is a quadrilateral and all the sides are equal. Opposite sides are parallel to each other . Each angle of a square is equal to 90°.

Since ∠M = 4t + 20

This means ∠M

4t + 20 = 90

4t = 90 - 20

4t = 70

t = 70/4

t = 17.5°

∠N = 7 f + 6

7 f + 6 = 90

7f = 90 -6

7f = 84

f = 84/7

f = 12°