Question

Drag a statement or reason to each box to complete this proof.

Answer 1

In the given quadrilateral ABCD,

$m\angle A=7x^{\circ} , m\angle B=5x^{\circ}, m\angle C=7x^{\circ} , m\angle D=5x^{\circ} (Given)$

$m\angle A + m\angle B+ m\angle C+ m\angle D=360^{\circ}$

(Sum of interior angles of a quadrilateral is 360 degrees)

$7x\dot{^{\circ}} + 5x^{\circ}+ 7x\dot{^{\circ}} + 5x^{\circ}=360^{\circ}$(Substitution Property)

$24x^{\circ}=360\dot{^{\circ}}$ (Addition Property of Equality)

$x=15^{\circ}$

Answer 2

Answer:

2.

Statement

m∠A + m∠B + m∠C + m∠D = 360°

Reason

The sum of interior angles of a quadrilateral is 360°

3.

Statement

(7x)° + (5x)° + (7x)° + (5x)° = 360°

Reason

Substitution property

4.

Statement

24x =  360

Reason

Combine like terms