Mathematics

Question

What is the measure of angle A in the triangle?



Enter your answer in the box.
​ m∠A= ​
°
What is the measure of angle A in the triangle? Enter your answer in the box. ​ m∠A= ​ °

2 Answer

  • 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,

    [tex](2x-10)+(x+30)+70=180[/tex]

    i.e. [tex]3x+20+70=180[/tex]

    i.e. [tex]3x+90=180[/tex]

    i.e. [tex]3x=90[/tex]

    i.e. x= 30°

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

    Thus, measure of angle A is 50°.

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