Question

What is the connection between d2 and db

Answer 1

Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent.

Answer 2

The connection between DB and D2 is DB and D2 are equal.

Explanation:

Given,

Two angles of the triangle is 50° and 65°

In 2nd figure: two given angles are 50° and 65°

To find the connection between D2 and DB.

Formula

• The sum of three angles of the triangle is 180°.

• The measurement of straight angle is 180°.

Now,

In triangle,

∠B = 180°-(50°+65°) = 65°

From straight line (fig 2)

∠2 = 180°-(50°+65°) = 65°

Hence,

DB and D2 are equal.