Answer:
m∠C = 122°
Step-by-step explanation:
Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means
m∠A + m∠C = 180°
m∠B + m∠D = 180°
To find angle C we need to find x, then subtract m∠A from 180°
x+20=3x
20=2x
x=10
Now we substitute 10 in for x
m∠A=2(10)+38
m∠A=20+38
m∠A=58°
Now we subtract this value from 180.
m∠C=180-58
m∠C=122°
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Step-by-step explanation:
125-8+100
=125+100-8
=225-8
=217
The lateral area is 192 cm².
The lateral area is the area of all of the lateral faces. Since the base of the pyramid is a quadrilateral, there are 4 lateral faces. The area of one lateral face is 48 cm²; this means the lateral area is 48(4) = 192 cm².