Verified Answer :

texaschic101

The interior angles of a triangle add up to 180 degrees.

(2x - 10) + (x + 30) + 70 = 180...combine like terms
3x + 90 = 180
3x = 180 - 90
3x = 90
x = 90/3
x = 30

m < A = 2x - 10 = 2(30) - 10 = 60 - 10 = 50 <== m < A

Answer:

m∠A = 50°

Step-by-step explanation:

We know that,

The sum of the measures of the angles of a triangle is 180°.

So, we get,

\((2x-10)+(x+30)+70=180\)

i.e. \(3x+20+70=180\)

i.e. \(3x+90=180\)

i.e. \(3x=90\)

i.e. x= 30°

So, m∠A = \((2x-10)\) = \(2\times 30-10\) = \(60-10\) = 50°

Thus, measure of angle A is 50°.

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