Answer: the third angle is 106 degrees.
The base angles are 37 degrees each.
Step-by-step explanation:
In an isosceles triangle, the base angles are equal.
Let x represent the measure of each of the base angles.
The third angle in an isosceles triangle is 32 more than 2 times as large as each of the two base angles. It means that the measure of the third angle would be
(2x + 32) degrees
The sum of the angles inna triangle is 180 degrees. It means that
x + x + 2x + 32 = 180
4x = 180 - 32
4x = 148
x = 37
The third angle is
2x = 32 = (2 × 37) + 32
= 74 + 32 = 106
Answer:
1,1 or -1,3
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
sorry if i am wrong
Y=-x-8
the y-intercept is 8, while the slope is 1
Answer:


Step-by-step explanation:
∠1 and ∠2 are vertical angles.
∠1 = ∠2
<u>Part A:</u>
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Create an equation and solve for x.
20x + 21 = 30x - 29
Add 29 and -20x on both sides.
20x + 21 + 29 - 20x = 30x - 29 + 29 - 20x
Simplify the equation.
50 = 10x
Divide both sides by 10.
= 
Simplify the equation.
5 = x
Switch sides.
x = 5
<u>Part B:</u>
<u></u>
Let x = 5
20(5) + 21
Distribute.
100 + 21
Add.
= 121
Since both angles are vertical angles, they are equal.
∠1 = 121°
∠2 = 121°