Question

find the value x in the given diagram below

Answer 1

Answer:

Step-by-step explanation

Angle LOX =82 degrees (corresponding angles)

X=82 - 40 (exterior angle of = sum of interior

Opposites)

=42 degrees

×=40 degrees

Answer 2

Answer:

x=42*degree

Step-by-step explanation:

we know that line m and l are parallel .

so it's corresponding angle which we could mark as y would be of same measurement.

we could mark an angle as angle z as shown in the figure.

angle z and angle y are linear pair which means that their sum is equal to 180 degree.

angle y = 82degree

angle z = 180 degree - 82 degree

= 98degree

As we know sum of all the angles of a triangle is equal to 180degree

angle x=180-{40degree+angle z}

=180-{40+98}

=180-138

=42degree