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Pls help asap if you can!!!

Pls help asap if you can!!!-example-1

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Answer:

x = 6

Explanation:

Pre-Solving

We are given ABCD, which the problem gives as a parallelogram.

We are also given that the measure of ∠B is 12x + 3 and the measure of ∠A is 105°.

Recall that a parallelogram is made up of 2 pairs of parallel sides. This means that CB is parallel to DA and CD is parallel to BA.

  • Because we know that BC is parallel to DA, we can consider line BA to be a transversal of those two lines. This makes ∠B and ∠A same-side interior angles, which are equal to 180 degrees.

Solving

Based on the above information, we know that:

m∠B + m∠A = 180°

Substitute what we know into the equation (we can disregard the degree sign).

12x + 3 + 105 = 180

Add the numbers together

12x + 108 = 180

Subtract.

12x = 72

Divide.

x = 6

So, x is equal to 6.

User Mike Dalessio
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