An angle measures 15 degrees more than its complement. Find the measures of the two angles

The first angle is 37.5° and the second would be 52.5°

Step-by-step explanation:

Angles are complementary when their sums add up to 90°.

The first angle is 37.5° and the second would be 52.5°, after we plug in x.

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Concept:

Here, we need to know the idea of the complementary angle.

Two angles are said to be complementary if they add up to 90 degrees.

Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.

Solve:

Given information

Angle 1 = x

Angle 2 = x + 15

Given expression deducted from the definition of the complementary angle

Angle 1 + Angle 2 = 90

Substitute values into the expression

(x) + (x + 15) = 90

Combine like terms

(x + x) + 15 = 90

2x + 15 = 90

Subtract 15 on both sides

2x + 15 - 15 = 90 - 15

2x = 75

Divide 2 on both sides

2x / x = 75 / 2

Find the measure of angle 2

Angle 2 = x + 15 ⇔ Given expression

Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression

Angle 2 = ⇔ Simplify by addition

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the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!