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Use the diagram of parallelogram ABCD to find m∠D

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(1 point)
m∠D=

°

3 answers

To find m∠D in parallelogram ABCD, you need to know a few properties of parallelograms:

  1. Opposite angles in a parallelogram are equal. So, m∠A = m∠C and m∠B = m∠D.
  2. Adjacent angles are supplementary, which means that each pair of adjacent angles adds up to 180°. So, m∠A + m∠B = 180° and m∠C + m∠D = 180°.

If you have the measure of either angle D or its adjacent angle B, you can find m∠D easily.

Please provide the measure of any of the angles or additional information from the diagram, and I can help you find m∠D.

Use the diagram of parallelogram ABCD to find m∠D . 137degrees
(1 point) m∠D= °

In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. Given that \( m\angle B = 137^\circ \), we can find \( m\angle D \) using the relationship between the angles.

Since \( m\angle B + m\angle D = 180^\circ \):

\[ m\angle D = 180^\circ - m\angle B \] \[ m\angle D = 180^\circ - 137^\circ \] \[ m\angle D = 43^\circ \]

Therefore, \( m\angle D = 43^\circ \).