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1. Find the value of x if a || b.
2. Find the values of x and y.

1. Find the value of x if a || b. 2. Find the values of x and y.-example-1
User Ggmathur
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The value of x in question 1 is 43°. The measure of angle x is -29 degrees and the measure of angle y is 209 degrees in question 2.

For question 1:

Lines a and b are parallel if the corresponding angles are equal or supplementary. In this case, we have:

48° + (3x + 3)° = 180° (supplementary angles)

Solving for x, we get:

3x = 129°

x = 43°

Therefore, the value of x is 43°.

For question 2:

Step 1: Find the measure of angle x.

We are given that the exterior angle of the triangle measures 141 degrees. We are also given that the interior angle opposite to side x measures 68 degrees. The sum of the interior angles of a triangle is 180 degrees, so we can find the measure of angle x by subtracting the measures of the other two angles from 180 degrees.

angle x = 180 degrees - 68 degrees - 141 degrees

angle x = -29 degrees

Step 2: Find the measure of angle y.

We are given that angle y is supplementary to angle x. Supplementary angles sum to 180 degrees.

angle y = 180 degrees - angle x

angle y = 180 degrees - (-29 degrees)

angle y = 209 degrees

User Aeh
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