4 1
2.
D
3
In the diagram above, Z4 = x+30 and
Z2 = 2x+15. Find the measure of Z4.
24 = [ ? 1°
Enter

In the diagram, the measurement of ∠4 is 45°

Step-by-step explanation:

∠4 and ∠2 are corresponding angles which means they are congruent and have equal measurements. So, when we set up the equation, we are going to equal the equations to each other.

x + 30 = 2x + 15

Subtract 2x from both sides of the equation.

-x + 30 = 15

Subtract 30 from both sides of the equation.

-x = -15

Divide both sides of the equation by -1.

x = 15

Now, we plug this number in for x for angle 4.

∠4 = (15) + 30 = 45

So, the measurement of ∠4 is 45°

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step-by-step explanation:

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: