Question

A figure displays two nonadjacent angles with measures 3x and (4x + 1). If the angles are complementary, what is the simplified equation corresponding to the measures of the angles? (1 point)
a (1x+1)=180°
b (7x+1)=90°
c (7x+1)=180°
d (1x+1)=90°

Answer 1

Since the angles are complementary, their measures add up to 90°.

Therefore, the equation would be:

3x + (4x + 1) = 90°

Simplifying the equation gives:

7x + 1 = 90°

So, the answer is:

b (7x+1)=90°

Answer 2

What are the two angle measures of complementary angles expressed as 3x and (2x-5)°? (1 point)
a 19 and 71°
b 21 and 69
c 30 and 60
d 33 and 57

Answer 3

Since the angles are complementary, their measures add up to 90°.

Therefore, we can set up the equation:

3x + (2x - 5) = 90

Simplifying the equation gives:

5x - 5 = 90

Adding 5 to both sides gives:

5x = 95

Dividing both sides by 5 gives:

x = 19

Substituting the value of x back into the expressions for the angles:

3x = 3(19) = 57°
2x - 5 = 2(19) - 5 = 38 - 5 = 33°

So, the two angle measures are:

33° and 57°

The answer is:

d) 33 and 57