71.5k views
1 vote
BIG IDEAS MATH QUESTION

BIG IDEAS MATH QUESTION-example-1

1 Answer

6 votes
Answer is below

∠ 1 = 90

∠ 2= 48 - adjacent to ∠3, sum is 180. 180 - 42 = 48.

∠ 3= 42 - vertical angle to ∠ 1 is 90, plus ∠ 5 is 48 = 138. Angle ∠3 is 180 - 90 - 48 = 42.

∠ 4= 42 - adjacent angle to given angle 48, sum of angles 180. 180 - 48 = 42.

∠ 5= 48 - it’s an opposite interior angle to given angle of 48

Step-by-step explanation

All the interior angles of a rhombus add up to 360°. 360/4 = 90.
Adjacent angles of a rhombus add up to 180°. The diagonals of a rhombus are perpendicular to each other.

User Mark Walker
by
7.8k points