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
[tex] = > x = \frac{160}{8} [/tex]
=> 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 = 36° (Ans)
