Find the value of x. then find the measure of each labeled angle

Value of x is 70

Given that:

Adjacent angle are (x + 40)° and x° by intersecting parallel line

Find:

Value of x

Computation:

(x + 40)° + x° = 180°

2x + 40 = 180

2x = 180 - 40

2x = 140

x = 70

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Step-by-step explanation:

Refer the attached figure

When we extend line AB to E

Then ∠EBC is formed

Since BC is parallel to AD

So, ∠EBC =∠BAD = x° (corresponding angles are equal )

Linear pair :  Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Now With the linear pair property

∠EBC+∠CBA = 180°

Thus x = 70°

Hence the value of x is  70°

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step-by-step explanation: