In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and ang

₹0.0

Question: In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and angle C = 90 degrees, what is the measure of angle D?

Options:

Correct Answer: 80 degrees

Solution:

The sum of the angles in a quadrilateral is 360 degrees. Therefore, angle D = 360 - (70 + 110 + 90) = 360 - 270 = 90 degrees.

In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and angle C = 90 degrees, what is the measure of angle D?

In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and angle C = 90 degrees, what is the measure of angle D?

Step 1: Understand that a quadrilateral has four angles.
Step 2: Know that the total sum of the angles in a quadrilateral is always 360 degrees.
Step 3: Add the measures of the given angles: angle A (70 degrees) + angle B (110 degrees) + angle C (90 degrees).
Step 4: Calculate the sum: 70 + 110 + 90 = 270 degrees.
Step 5: Subtract the sum of the known angles from 360 degrees to find angle D: 360 - 270 = 90 degrees.
Step 6: Conclude that angle D measures 90 degrees.

Sum of Angles in a Quadrilateral – The total measure of the interior angles in any quadrilateral is always 360 degrees.