The roof of a solar house is elevated by an angle of 50 at the front and by an angle of 40 at the back.
a) what is the measure of the angle at the peak?
b) what kind of triangle do these angels create? Explain why?
please help , thanks
90?
yes, it is a right angle.
To find out the measure of the angle at the peak of the roof, we can subtract the angles at the front and the back from 180 degrees. Let's calculate it:
a) Angle at the peak = 180 degrees - Angle at the front - Angle at the back
Angle at the peak = 180° - 50° - 40°
Angle at the peak = 90° degrees
Therefore, the angle at the peak of the roof is 90 degrees.
b) The angles at the front and the back of the roof add up to less than 180 degrees, which indicates that the roof is slanted or sloped. In this case, the angles at the front and the back are 50 degrees and 40 degrees, respectively, and the angle at the peak is 90 degrees.
By analyzing the triangle formed by these angles, we can determine that it is an obtuse triangle. An obtuse triangle is a type of triangle that has one angle greater than 90 degrees.
In this situation, the angle at the peak of 90 degrees is greater than 90 degrees, making it an obtuse triangle. The sloping of the roof creates this type of triangle.