There are two vertical angles in a figure with measures

m<1= (2x-16)°
And
m<2= 98°
What equation will solve for X?

5 answers

To solve for x, we need to set up an equation using the fact that vertical angles are congruent.

Since angle 1 and angle 2 are vertical angles, we have:

m<1 = m<2

(2x-16)° = 98°

Now, we can solve for x by isolating the variable:

2x - 16 = 98

Adding 16 to both sides:

2x = 114

Dividing both sides by 2:

x = 57

So, the equation that will solve for x is: 2x - 16 = 98
Two intersecting lines create four angles
<2
And
<4
Are a vertical pair. There’s some of their measures equal to 110° what equation will solve for the value of each angle
Let's assume angles 2 and 4 are a vertical pair, and the sum of their measures is 110°.

Since vertical angles are congruent, we have:

m<2 = m<4

Let's represent the measure of angle 2 as x:

m<2 = x°

And the measure of angle 4 as y:

m<4 = y°

According to the given information, the sum of their measures is 110°:

x + y = 110

This equation will solve for the value of each angle.
Two intersecting lines create four angles <2 And <4 Are a vertical pair. Their some of their measures equal to 110° what equation will solve for the value of each angle?
Apologies for the confusion in my previous response. Let's solve for the value of each angle using the given information.

Since angles 2 and 4 are a vertical pair and the sum of their measures is 110°, we can set up the equation:

m<2 + m<4 = 110°

Let's represent the measure of angle 2 as x°:

m<2 = x°

And the measure of angle 4 as y°:

m<4 = y°

Replacing the angles in the equation:

x + y = 110

This equation will solve for the value of each angle.