Given: AD BC and AD || BC Provę: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
SAS
CPCTC
A
reflexive property
alternate interior angles theorem
B
Statements
1. AD BC
✓ 2. ZDAC and BCA
are alt. interior angles
3. AD || BC
Reasons
1. given
2. def. of alt. interior angles
D
.
3. given
С
Correct Assemble the next
statement

Wednesday Thursday Friday

Explanation:

Krrr

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if triangle abc is congruent to triangle def, their interior angles are congruent, because congruent parts of congruent triangles are congruent (cpctc).

that means ∠d is congruent to ∠a; ∠d is equal to 8x - 2.

interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

x = 11