Step-by-step explanation:
1.
a. Isosceles right triangle
a° = 180 - (90 + 20)
a° = 180 - 110 = 70
b. Isosceles acute triangle
a° = 180 - (70+70)
a° = 180 - 140 = 40
c. The three angles inside a triangle always add up to 180°
∠A = 180 - (70 + 60)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
d. Isosceles acute triangle
∠A = 180 - (65 + 65)
∠A = 180 - 130
∠A = 50
so a° = 180 - 50 = 130
e. The angles of a rectangle add up to 360°
a° = 360 - (100 + 95 + 70)
a° = 360 - 265
a° = 95
f. The angles of a rectangle add up to 360°
2a° = 360 - (70 + 60)
2a° = 360 - 130
2a° = 230
a° = 115
2.
a. Straight angle is 180°
180 - 141 = 39
so x° = 180 - (39 + 39)
x° = 180 - 78
x° = 102
b. The three angles inside a triangle always add up to 180°
180 - (40 + 60)
180 - 100 = 80
opposite angle
x° = 180 - (80 + 35)
x° = 180 - 115 = 65
c. The angles of a rectangle add up to 360°
(x + 20)° + x° = 360 - (90 + 90)
(x + 20)° + x° = 360 - 180
(x + 20)° + x° = 180
x° = 80
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