In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, wh

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Question: In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?

Options:

Correct Answer: C and D must be 180 degrees

Solution:

The sum of the angles in any quadrilateral is 360 degrees. Given angles A and B, we can find C + D = 360 - (70 + 110) = 180 degrees.

In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?

In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?

Step 1: Understand that a quadrilateral has four angles: A, B, C, and D.
Step 2: Know that the total sum of all angles in a quadrilateral is always 360 degrees.
Step 3: Identify the given angles: angle A is 70 degrees and angle B is 110 degrees.
Step 4: Add the measures of angles A and B together: 70 + 110 = 180 degrees.
Step 5: Subtract the sum of angles A and B from the total sum of angles in a quadrilateral: 360 - 180 = 180 degrees.
Step 6: Conclude that the sum of angles C and D is 180 degrees.

Sum of Angles in a Quadrilateral – The total sum of interior angles in any quadrilateral is always 360 degrees.
Angle Calculation – Understanding how to calculate the remaining angles based on given angles.