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

The figure is a square, so all its angles will measure 90°.

$4t + 20 = 90 \\ = > t = \frac{70}{4} = 17.5$

$7f + 6 = 90 \\ = > f = \frac{84}{7} = 12$

Answer 2

Therefore the value of t = 17.5° and f=12°

Step-by-step explanation:

Square:

1. The length of each sides are equal to each other.
2. Each angles of a square are equal to 90°.
3. The length of each diagonals are equal to each other.
4. Diagonals bisect to each other at 90°.

According to the problem,

(4t +20) =90

⇒(4t)+20=90

⇒(4t)=90-20

⇒(4t)=70

⇒t=17.5°

Again,

(7f+6)=90

⇒7f=90-6

⇒7f=84

⇒f=12°

Therefore the value of t = 17.5° and f=12°