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Need help solving this I know it has to do with angles ands its not -4 :/

Need help solving this I know it has to do with angles ands its not -4 :/-example-1
User Mooseman
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1 Answer

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Answer:


\sf \angle 5 = 109^\circ


\sf \angle 8 = 71^\circ

Explanation:

Given:


\sf \angle 5 = (3x+7)^\circ


\sf \angle 8 = (2x+3)^\circ

To find:


\sf \angle 5 \textsf{ and } \angle 8

Solution:


\sf \angle 5 \textsf{ and } \angle 8 are linear pairs.

Now, we can set up the expressions as:


\sf \angle 5 + \angle 8 =180^\circ

Since sum of angle of linear pair or straight line is 180°.

Substituting the value


\sf (3x + 7) + (2x + 3) = 180

Combine like terms.


\sf 3x+7+2x+3=180


\sf 5x + 10 = 180

Subtract 10 from both sides:


\sf 5x = 180-10


\sf 5x=170

Divide both sides of the equation by 5.


\sf x=(170)/(5)


\sf x = 34

Substitute 34 for x in the expressions:


\sf \angle 5 = (3)(34) + 7 = 109^\circ


\sf \angle 8 = (2)(34) + 3 = 71^\circ

User Toon Casteele
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