The figure shows the measures of various angles of a roof and it supports. Find the measure of angle 1, the angle between an eave and a horizontal support beam.

The figure shows the measures of various angles of a roof and it supports Find the measure of angle 1 the angle between an eave and a horizontal support beam class=

Respuesta :

Answer:

35 degrees.

Explanation:

The figure shown is an isosceles triangle. An isosceles triangle has two of its sides and base angles to be equal.

Since the sum of the angles in a triangle is 180 degrees, hence:

110 + (base angles) = 180

110 + (<1 + <1) = 180 (since base angles are the same)

110 + 2<1 = 180

2<1 = 180-110

2<1 = 70

Divide both sides by 2

2<1/2 = 70/2

<1 = 35 degrees

Hence the angle between an eave and the horizontal support beam is 35 degrees.