Chapter 5: Q4 (page 182)

The diagonals of $▱ A B C D$ intersecting at Z. For the following figure, tell whether the statement must be, maybe, or cannot be true.
$m ∠ D A B = 85^{\circ} and m ∠ B C D = 95^{\circ}$

Short Answer

Expert verified

The statement cannot be true.

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the parallelogram.

The opposite angles of a parallelogram are congruent.

Step 3. Step description.

Consider ABCD is a parallelogram and diagonals AB and CD intersect at Z.

From the figure, $∠ D A B$ and $∠ B C D$ are opposite angles of a parallelogram

Since the opposite angles of a parallelogram are congruent thus the angles $∠ D A B$ and $∠ B C D$ are congruent such that $∠ D A B ≅ ∠ B C D$ .

Therefore, the statement cannot be true.

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The diagonals of $▱ A B C D$ intersecting at Z. For the following figure, tell whether the statement must be, maybe, or cannot be true.
$m ∠ D A B = 85^{\circ} and m ∠ B C D = 95^{\circ}$

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

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The diagonals of ▱ABCD intersecting at Z. For the following figure, tell whether the statement must be, maybe, or cannot be true.m∠DAB=85∘andm∠BCD=95∘

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of the parallelogram.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Statistics

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

The diagonals of $▱ A B C D$ intersecting at Z. For the following figure, tell whether the statement must be, maybe, or cannot be true.
$m ∠ D A B = 85^{\circ} and m ∠ B C D = 95^{\circ}$