6(3x+8)+32+12x=
18x+48+32+12x=
30x+80
Answer
X=96
Explanation
You have to add up the two interior angles, the angles inside the triangle, to equal the exterior angle.
- x-47+x=x+49 Combine like terms that would be the x's which would equal 2x
- 2x-47=x+49 Add 47 to both sides 49+47=96
- 2x=x+96 Subtract x on both sides 2x-x-x
- x=96
If you want to check the answer put 96 back in the x's spots. The interior angles would equal 145 and the exterior angles would equal 145 as well.
In this question we have to find an angle between 0 and 2π that is coterminal with 10pi/3 .
To find the coterminal angle, we need to subtract 2 pi from 10 pi/3. That is
Multiplying numerator and denominator of 2 pi by 3
And that's the required coterminal angle between 0 and 2pi.
The measures of vertical angles are identical.
∠A = ∠B
x+16 = 3x-14 . . . . substitute the given measures
30 = 2x . . . . . . . . add 14-x
15 = x . . . . . . . . . .divide by 2
∠A = ∠B = 15+16 = 31
The measure of ∠A is 31°.
Answer: Only A and B
Step-by-step explanation:
opposite vertical angles are made by two intersecting lines