Lines and Angles Test - 1

Explanation:

We know that two angles are Complementary Angles, if they add up to 90°

Here first angle= 65^∘

Then Complementary of 65^∘= 90^∘ - 65^∘ = 25^∘

Explanation:

If two angles are complementary, the sum of their measures is 90 degrees. 

Let first angle = x

This means that its complement is 12^∘ - x degrees.

But the difference in their measures is 12^∘. Therefore, you can write the equation:

x - (90^∘- x) = 12^∘

x - 90^∘+ x = 12^∘

Combine the two x terms on the left side to get:

2x - 90^∘= 12^∘

2x = 102^∘

x = 51^∘

So the measure of one of the two angles is 51^∘.

the difference in the two angles is 51^∘ - 12^∘ = 39^∘.

angles are 51^∘ , 39^∘

Explanation:

If two lines intersect at a point, then the vertically opposite angles are always Equal as they share the same vertex.

If two angles form a linear pair, then the sum of the degree measures of the angles is 180°.

Let x = measure of the smaller angle

Then, 2x = measure of the other angle.

So, x + 2x = 180°

3x = 180°

x = 60°

The measures of the angles are 60° and 120°.

Then Two angles forming a linear pair are Supplementary angle.

Explanation:

Transversal line is a straight line that cuts 2 or more lines. The lines may or may not be parallel. If the lines are parallel, then transversals tell us a great deal about the angles.