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Please Solve for x.

Please Solve for x.-example-1
User Elli White
by
8.3k points

1 Answer

1 vote

Answer:

x = 14

Explanation:

We can solve for x using the following steps:

Step 1: Find the measure of the angle beside the 35° angle (let's call it angle y):

  • The 35° and angle y both lie on a straight line and are right beside each other, meaning that they are supplementary angles.
  • This means that the sum of the two angles is 180°.

Thus, we can find the measure of angle y by subtracting 35 from 180:

(m∠y + 35 = 180) - 35

m∠y = 145°

Therefore, the measure of angle y is 145.

Step 2: Set the sum of 145, (x - 7) and 2x equal to 180:

  • The triangle sum theorem says that the sum of a triangle's interior angles equals 180°.

Thus, we can solve for x by setting the sum of 145, (x - 7), and 2x equal to 180:

145 + x - 7 + 2x = 180

(145 - 7) + (x + 2x) = 180

(138 + 3x = 180) - 138

(3x = 42) / 3

x = 14

Therefore, x = 14.

User Joel Almeida
by
8.5k points

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