Answer:
m<C = 42°
Step-by-step explanation:
Given:
m<A = (2x - 2)°
m<C = (4x - 6)°
m<DBC = (5x + 4)°
Thus:
m<DBC = m<A + m<C (exterior angle theorem of a triangle)
(5x + 4)° = (2x - 2)° + (4x - 6)°
Solve for x
5x + 4 = 2x - 2 + 4x - 6
Collect like terms
5x + 4 = 6x - 8
5x - 6x = -4 - 8
-x = -12
Divide both sides by -1
x = 12
✔️m<C = (4x - 6)°
Plug in the value of x
m<C = 4(12) - 6 = 48 - 6
m<C = 42°
What is the meaning of this question
Answer:
Frank has X+45 baseball cards
Step-by-step explanation:
You just add 45 new baseball cards to the ones he had before which is X
The answer is: [B]: " 60° " .
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Because at whatever location, <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.
Given: m∠1 is 120°, and ∠1 is supplementary to ∠2 ;
then m∠1 + m∠2 = 180° .
So, m∠2 = (180 - 120)° = 60° .
As aforementioned:
m∠4 = m∠2 = 60° ; which is: Answer choice: [B]: " 60° " .
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Answer is highlighted in brown. Hope this helps.
