Question

Find the measurement of the angle indicated for each trapezoid.
left top corner(E)
Bottom left corner (D)
Right top corner (B)
Bottom Right corner (C)
inside right top corner (65)
inside bottom right corner (?)


Question 4 options:

30


75


45


115

Answer 1

To find the measurement of the angle at the bottom right corner (D) of the trapezoid, we can use the property that the sum of all angles in any quadrilateral is 360 degrees.

In the trapezoid you've described, we have the following angles:

- Angle E (top left corner) = ?
- Angle B (top right corner) = 65 degrees
- Angle C (bottom right corner) = ?
- Angle D (bottom left corner) = ?

Let angle C (bottom right corner, indicated by ?) be the angle we want to find.

Since angles B and C are the interior angles of the trapezoid, we can set up the equation:

Angle E + 65 + C + Angle D = 360 degrees

However, without knowing the value of angles E and D, we can look at the properties of trapezoids.

In an isosceles trapezoid, the angles adjacent to each base are supplementary. This means that if we denote:
- Angle D as x,
- Angle E would then be supplementary to Angle B.

Thus, Angle E = 180 - 65 = 115 degrees.

Now, we can revise our equation:
115 + 65 + C + x = 360

Replacing angle D (or x) back into the equation, we would get:
115 + 65 + C + (180 - C) = 360

Now, we consolidate the terms:
115 + 65 + 180 = 360
360 = 360

So, the only missing angle based on the configurations we were discussing (assuming we set angle E correctly) leads us to conclude the possibility of angle C must fit with the angles we have.

Given that angle C should correspond to its supplementary relationship with angle D and B, the angle must be:
C = 115 degrees.

So, in final conclusion:

The angle at the bottom right corner (C) is 115 degrees.

Therefore, the correct option is:

**115**