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Rus_ich [418]
3 years ago
12

Using the following image , find the value for x

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Step-by-step explanation:

Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.

\longrightarrow (x + 13) + (4x + 2) = 180°

\longrightarrow x + 13 + 4x + 2 = 180°

\longrightarrow 5x + 15 = 180°

\longrightarrow 5x = 180° ― 15

\longrightarrow 5x = 165°

\longrightarrow x = 165° ÷ 5

\longrightarrow x = 33°

Therefore, the value of x is 33°.

<u>Quick Check!</u>

\longrightarrow x + 13

\longrightarrow (33 + 13)°

\longrightarrow 46°

And, another angle :

\longrightarrow (4x + 2)°

\longrightarrow {4(33) + 2}°

\longrightarrow (132 + 2)°

\longrightarrow 134°

<u>★</u><u> </u><u>Sum</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>angles</u><u> </u><u>should</u><u> </u><u>be</u><u> </u><u>1</u><u>8</u><u>0</u><u>°</u><u> </u><u>:</u>

\longrightarrow (x + 13) + (4x + 2) = 180°

\longrightarrow 46° + 134° = 180°

\longrightarrow 180° = 180°

L.H.S = R.H.S, hence verified!

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