Two angles form a linear pair. The measure of one angle is z and the measure of the other angle is 2.4 times z plus 10∘ 10 ∘ . Find the measure of the smallest and biggest angle

Given:

Two angles form a linear pair.

The measure of one angle is z and the measure of the other angle is 2.4 times z plus 10°.

To find:

The measure of the smallest and biggest angle.

Solution:

Two angles form a linear pair. The measure of one angle is z.

The measure of the other angle is 2.4 times z plus 10°, i.e., .

We know that if two angles form a linear pair then their sum is 180 degrees.

Divide both sides by 3.4.

Now, the measure of other angle is:

Therefore, the measure of the smaller angle is and the measure of the bigger angle is .

mk./km: lm

step-by-step explanation:

,mlmlm

; mk

lk

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: