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 .

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