Answer:
114
Step-by-step explanation:
Answer:
Hey there,
Let the angle ABC = x
Let the angle CBE = y
Let the angle EBD = z
We want to find x.
So, we are given the following:
x+y+z=85
z=21
And y=z
therefore, both y and z must equal 21.
21+21=42
85-42=43.
Answer:
- Part 2 - ∠EGF = 105°
- Part 3 - ∠D = 65
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Step-by-step explanation for Part-2:
<u>We know that:</u>
- ∠EFG = 32°
- ∠AEG = 137°
- ∠EFG + ∠FGE + ∠GEF = 180°
<u>Work:</u>
- ∠EFG + ∠FGE + ∠GEF = 180°
- 32 + ∠FGE + (180 - 137) = 180°
- => 32 + ∠FGE + 43 = 180°
- => 75 + ∠FGE = 180°
- => ∠FGE = 180 - 75
- => ∠FGE = ∠EGF = 105°
Hence, the measure of ∠EGF is 105°.
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Step-by-step explanation for Part-3:
<u>We know that:</u>
- CD = CA
- This triangle is an isosceles triangle.
- ∠D = ∠A
<u>Work:</u>
- 50 + ∠D + ∠A = 180
- => ∠D + ∠D = 130
- => 2∠D = 130
- => ∠D = 130/2
- => ∠D = 65
Hence, the measure of ∠D is 65°
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Answer:
C (1.5 , -4)
Step-by-step explanation:
3x - 43 = 8
Shift the - 43 to the other side and change it to +
3x = 8 + 43
3x = 51
Isolate x by shifting 3 to the other side, dividing 51 by 3.
X = 51 / 3
X = 17
