Abuilding makes a 90° angle with the ground. a ladder leans against the building, making a 110° exterior angle with the ground. what are the measures of the two interior angles?

A building makes a angle with the ground .The two interior angles are and

Solution:

Given, a ladder which is against the building wall makes an exterior angle of

And building makes a   angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.  

Now, we know that, sum of exterior angles and interior angles equals to

Here, in the case of ground and ladder, exterior angle is and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle =

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle =

Hence the two interior angles are   and

answer: the first graph

step-by-step explanation: