The interior angles in a 4 sided polygon add up to 360°. You are already given two measurements of 90°, so you know that the lastvtwo angles sum to 360-90-90= 180°.
Put this information into an equation and solve for x:
(7x+27)°+(9x-7)°=180°
7x+27°+9x-7°=180°
16x+20°=180°
16x=160°
x=10°
Angle B is (7x+27)°, so just substitute x:
B = 7(10)+27
B = 70+27
B = 97°
Answer:
Perimeter = 28.8 inch
Step-by-step explanation:
Step 1: Change given centimeters into inches according to the scale
2.5 / .5 = 5 <--- length in inches
4.7 / .5 = 9.4 <--- width in inches
^^^This is the same thing as multiplying 2.5 cm and 4.7 cm by two. You could also reword the scale to be 1 cm = 2 inch if it makes more sense for you
Step 2: Find the perimeter using the formula: P = 2L + 2W
2 (5) + 2(9.4)
10 + 18.8
The 4th option is correct
