Trapezoid WERI has legs WI and ER.
If WERI is isosceles and if m<I= 110, find m<W, m<R, and m<E. How are you suppose to find the angle measures?
To find the angle measures in the isosceles trapezoid WERI, you can use the properties of isosceles trapezoids.
In an isosceles trapezoid, the base angles (the angles formed by the base and the non-parallel sides) are congruent. In this case, the base angles are angles I and E.
Given that m<I = 110, we know that m<I = m<E (since the base angles are congruent). Therefore, m<E = 110.
To find m<W and m<R, we need to use the fact that the sum of the angles in a trapezoid is 360 degrees. In WERI, the sum of the four angles is 360.
Since angles I and E are congruent, they each measure 110 degrees. Therefore, together they contribute 220 degrees to the sum of the four angles.
To find m<W and m<R, subtract the sum of angles I and E from 360 degrees:
360 - 220 = 140 degrees.
So, m<W = m<R = 140 degrees.
Therefore, the angle measures are:
m<W = 140 degrees
m<R = 140 degrees
m<E = 110 degrees.