Use rhombus TQRS below for questions 1–4.

  1. What is the measure of angle 1 ?
A47
B37
C74
D53
  1. What is the measure of angle 2 ?
A47
B74
C37
D53

Use rhombus TQRS below for questions 1 4. 1. What is the measure of angle 1 ? A. 47 B. 37 C. 74 D. 53 2. What is the measure of angle 2 ? A. 47 B. 74 C. 37 D. 5 class=

Verified Answer :

Answer:

Part 1) Option D \(53\°\)

Part 2) Option C \(37\°\)

Step-by-step explanation:

we know that

In a Rhombus

Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles

Part 1) What is the measure of angle \(1\) ?

\(m<1=53\°\) -----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle \(2\) ?

Remember that

In a rhombus consecutive angles are supplementary

so

\(m

\(m

\(m

The measure of angle \(2\) is equal to the measure of angle T divided by \(2\)

\(m<2=74\°/2=-37\°\)


unit 2 lesson 4 quick check

1: D (53)

2: C (37)

3: B (1)

4: A (4)

5: C (22)