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HACTEHA
14 days ago
14

If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.

Mathematics
1 answer:
babunello [3.6K]14 days ago
7 0

Given :

∠m1 = ( 7x - 19 )°.

∠m2 = ( x + 5 )°.

To Find :

The value of x .

Solution :

As the relationship between angle ∠m1 and ∠m2 isn't specified,

let's presuppose that the sum of ∠m1 and ∠m2 equals 180°.

Thus,

(7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}

Angle ∠m2 = (24.25 + 5 )° = 29.25°.

Consequently, ∠m2 is 29.25°.

Hence, this solution meets the requirements.

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