Question

In the following figure, find x if BA || CE. *

Answer 1

Answer:

x= 65°

Step-by-step explanation:

as v know, ngle B + ngle C = 180°

..................( supplementary angles)

so,,,

50° + x +65° = 180°

115°+x = 180°

x = 180°-115°

x = 65°

Answer 2

Given:

Angle ABC=50°

Angle ACE=65°

To find:

The measure of x

Solution:

The measure of x is 65°.

We can determine the angle by following the given steps-

We are given that the lines AB and CE are parallel to one another.

This means that the alternate and interior angles are of equal measure.

Here, angle ACE and angle BAC are alternate and interior angles.

Angle ACE=65°

So, angle ACE=angle BAC=65°.

Now, on adding the angles of ΔABC, we get 180°.

Angle ABC+angle ACB+angle BAC=180°

Angle ABC=50° and angle ACB=x

On putting the values, we get

50°+x+65°=180°

115°+x=180°

x=180°-115°

x=65°

So, angle ACB=x=65°

Therefore, the measure of x is 65°.