A and B are complementary angles. If m_A = (6x + 29) and m B = (x + 5)’, then find the measure of A.

Question

A and B are complementary angles. If m_A = (6x + 29) and m
B = (x + 5)’, then find the measure of A.

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Phúc Điền 3 years 2021-08-12T11:37:00+00:00 2 Answers 15 views 0

Answers ( )

  1. Farah
    0
    2021-08-12T11:38:11+00:00
    Reply

    Answer:

    m∠A=77°

    Step-by-step explanation:

    Complementary angles are a pair of angles whose measures have a sum of 90°. Since m∠A = 6x+29 and m∠B = x+5, we can write the following equation to solve for x:

    6x+29+x+5=90

    Solving for x, we get:

    6x+29+x+5=90

    7x+34=90 (Simplify LHS)

    7x+34-34=90-34 (Subtract 34 from both sides of the equation to isolate x)

    7x=56 (Simplify)

    \frac{7x}{7}=\frac{56}{7} (Divide both sides of the equation by 7 to get rid of x‘s coefficient)

    x=8

    Therefore, m∠A=6x+29=6(8)+29=48+29=77°. Hope this helps!

  2. diemkieu
    0
    2021-08-12T11:38:39+00:00
    Reply

    Answer:

    The measurement of angle A is: 77°

    Step-by-step explanation:

    First of all, let us define complementary angles

    The angles whose sum is 90° are called complementary angles.

    Given angles are:

    m∠A = 6x+29

    m∠B = x+5

    With respect to the definition, the sum of both angles will be 90°

    Writing this mathematically we get

    A+B = 90\\6x+29+x+5 = 90\\7x+34=90\\7x = 90-34\\7x = 56\\\frac{7x}{7} = \frac{56}{7}\\x = 8

    Putting the value of x in the expression for angle A

    A = 6x+ 29 = 6(8)+29 =48+29\\A = 77

    Hence,

    The measurement of angle A is: 77°

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