Answer:For the first shape 1 = 157
For the second shape 1 and 2 equal 129, 3 = 51
Third shape 1 and 3 = 132, 2 = 48
Step-by-step explanation:
All angles add up to 360
For first shape 360-(81+65+57)=157
For second shape 1 and 2 are equal angles and angle 3 = 51
(360-(51*2))/2 = 129
For the third shape 1 and 3 are equal angles and angle 2 = 48
(360-(48*2))/2=132
Answer:
A. 157
B. Angles 1 &2 = 129
Angle 3 =51
C. Angle 1 =132
Angle 2 =48
Angle 3=132
Step-by-step explanation:
The interior angles of polygons add to 360 degree.
For A, your equation looks like:
65+81+57+x=360
203+x=360
subtract 203 from each side
x=157
For B
Because the two sides are congruent, so are the corresponding angles.
So angle 3 is congruent to 51 and angles 1 and 2 will be congruent to each other.
51+51+2x=360
102+2x=360
subtract 102 from each side
2x=258
divide by 2 on each side
x=129
For C
Angle 3 forms a linear pair with 48, so together they must equal 180.
180-48=132.
Because all sides are congruent in the figure, the opposite angles are equal.
Angle 2 is congruent to 48 and Angle 1 is congruent to Angle 3 which we determined was 132.
132+132+48+48=360
