Answer:
20 degrees.
Step-by-step explanation:
The 3 angles of a triangle add up to 180 degrees.
Therefore the third angle in this triangle
= 180 - (120 + 40)
= 180 - 160
= 20 degrees.
Answer:
a = 30
b = 40
C
Step-by-step explanation:
This requires that you use a proportion.
a / (a + 15) = 40 / 60
The small triangle's sides are in proportion to the large triangles sides.
Reduce the right. Divide top and bottom by 20
a/(a + 15) = 40/20 // 60/20
a/(a + 15) = 2/3
Cross multiply
3a = 2(a + 15) Remove the brackets on the right.
3a = 2a + 30
Subtract 2a from both sides
3a-2a = 30
a = 30
Find B
b is done exactly the same way.
b/(b+20) = 2/3
3b = 2b + 40
3b - 2b = 40
b = 40
It would be 11 if I’m reading this right
Answer:

Step-by-step explanation:

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

Now, factor inside the parentheses by grouping:

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

Therefore, the final factored polynomial is
.
Answer: B) 65 degrees
-----------------------------------------------------
angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5
angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 25 degrees
Angle FEG = 90 - (angle GEC)
Angle FEG = 90 - 25
Angle FEG = 65 degrees