Question

find the value of x.​

Answer 1

Answer: For this, we need to use 2 properties.

1.)angle b=130 degrees.

Using angle on a line property,

130+x=180

X=180-130

X=50 degrees

Now that we know the interior angle of angle b,

Let us shift our focus to exterior angle c,which is equal to 125 degrees.

Therefore,using exterior angle property,

50+x=125

X=125-50

X=75 degrees.

Hope it helps :)

Answer 2

Answer:75°

Step-by-step explanation:

Since< ACD+<ACB=180(STRAIGHT LINE PROPERTY)

<ACB=180-125

=55°

SIMILARLY

<ABC+<ABE=180

<ABC=180-130

=50°

NOW,IN TRIANGLE ABC

<ABC+<ACB+<BAC=180(SUM OF INTERIOR ANGLES OF TRIANGLE (

50+55+x=180

x=180-105

=75°