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vazorg [7]
3 years ago
13

A and B are complementary angles. If m_A = (6x + 29) and m

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
6 0

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!

almond37 [142]3 years ago
6 0

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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