Question

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What is the measure of angle BCD? 25 40 140 155

Answer 1

Answer:155

Step-by-step explanation:

Answer 2

The measure of angle BCD is 140°.

Quadrilaterals

Quadrilaterals are geometric figures with 4 sides and 4 angles. And, for these figures, the sum of interior angles is 360°. There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles.

Supplementary Angles

Supplementary angles are two angles whose sum is equal to 180°.

For solving this question, you should find the supplementary angle for A, B and D angles.

• Angle A
• A+25=180

       A=180-25=155°

• Angle B

       B+146=180

       B=180-146=34°

• Angle D

       D+149=180

       B=180-149=31°

After that, find the angle C from a property of quadrilaterals - sum of interior angles is 360°. Thus,

                                        A+B+C+D=360

                                      155+34+C+31=360

                                       C=360-31-34-155

                                                  C=140°.

Read more about the quadrilaterals here:

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