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Setler79 [48]
2 years ago
6

I need help as fast as possible

Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

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 =  \frac{160}{8}

=> 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>

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The equation of a straight line can be represented in the slope-intercept form, y = mx + c

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