Chapter 2: Q6CR. (page 67)

Justify each statement with a property from algebra or property of congruence.
If $m ∠ A + m ∠ B + 50 = 180$ then $m ∠ A + m ∠ B = 130$ .

Short Answer

Expert verified

From the property of Algebra, it is proved that $m ∠ A + m ∠ B = 130$ .

Step by step solution

Step 1. Description of step.

The sum of measures of all the interior angles of a triangle is 180.

$m ∠ A + m ∠ B + 50 = 180$

Step 2. Apply subtraction property of algebra.

If $p = q$ and $r = s$ then $p - r = q - s$ .

Step 3. Description of step.

Subtract 50 from both sides of the $m ∠ A + m ∠ B + 50 = 180$ .

$\begin{matrix} m ∠ A + m ∠ B + 50 - 50 = 180 - 50 \\ m ∠ A + m ∠ B = 130 \end{matrix}$

Therefore, it is proved that $m ∠ A + m ∠ B = 130$ .

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Justify each statement with a property from algebra or property of congruence.
If $m ∠ A + m ∠ B + 50 = 180$ then $m ∠ A + m ∠ B = 130$ .

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Apply subtraction property of algebra.

Step 3. Description of step.

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Justify each statement with a property from algebra or property of congruence.Ifm∠A+m∠B+50=180then m∠A+m∠B=130.

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Apply subtraction property of algebra.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Mechanics Maths

Applied Mathematics

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

Justify each statement with a property from algebra or property of congruence.
If $m ∠ A + m ∠ B + 50 = 180$ then $m ∠ A + m ∠ B = 130$ .