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Calculate the size of angle MEB.

Mathematics

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here are the solutions to your geometry problems.

1. Calculate the size of MEB.

  1. Identify parallel lines and transversal.

    Given that DEF∥TMBDEF \parallel TMB. The line segment EBEB acts as a transversal.

  2. Find ∠EBM\angle EBM.

    Since DEF∥TMBDEF \parallel TMB, the alternate interior angles are equal.

    ∠EBM=∠BEF\angle EBM = \angle BEF

    Given ∠BEF=64∘\angle BEF = 64^\circ.
    Therefore, ∠EBM=64∘\angle EBM = 64^\circ. (Reason: Alternate angles, DEF∥TMBDEF \parallel TMB)

  3. Use the properties of △EMB\triangle EMB.

    Given that EM=EBEM = EB. This means $\

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