Question

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

Answer 1

Answer:

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°

$x+(x+40)=180$

$2x+40=180$

$2x=140$

$x=\frac{140}{2}$

$x=70$

Thus x = 70°

Hence the value of x is  70°

Answer 2

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

Learn more:

https://brainly.com/question/13954458?referrer=searchResults