Answer:
36°
Step-by-step explanation:
Given,
Measurement of <3 = 2x+8
Measurement of <4 = 6x+12
Since both are supplementary,
Therefore,
<3 + <4. = 180° [linear pair]
=> 2x + 8 + 6x + 12 = 180
=> 2x + 6x + 8 + 12 = 180
=> 8x + 20 = 180
=> 8x = 180 - 20 = 160

=> x = 20
Now as we have got the value of x,
According to the question measurement of <4 is,
<4 = 6×4 + 12 = 24 + 12 = <u>36</u><u>°</u><u> (Ans)</u>
Answer:
I believe the answer is A
Step-by-step explanation:
Hope this helps!
Vertical angles are equal to each other:
∠2 = ∠3
5 + 4y = 6y - 25
→ 30 = 2y
→ 15 = y
∠2 = 5 + 4y = 5 + 4(15) = 5 + 60 = 65
linear pairs equal 180:
∠1 + ∠2 = 180
→ ∠1 + 65 = 180
→ ∠1 = 115