1.
5c-7(2c-4)
5c-14c+28
-9c+ 28
2.
3(m+1) + 2m
3m+3+2m
5m+3
Add two like terms: 16x+(-9x)=7x
Add 15 to both sides: 7x=28
Divide 7 on both sides: x=4
For any polygon, the formula of the interior angle is 180 - 360/n where n is the number of sides of the polygon. The exterior angle is the supplementary angle of the interior angle. Hence when n is equal to 46, then interior angle is equal to 172.17 degrees and the exterior is equal to 7.83 degrees.
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
