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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. 53

Use rhombus TQRS below for questions 14 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 53 class=

Respuesta :

calculista

Answer:

Part 1) Option D [tex]53\°[/tex]

Part 2) Option C [tex]37\°[/tex]

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 [tex]1[/tex] ?

[tex]m<1=53\°[/tex] -----> remember that the diagonals bisect the angles

Part 2) What is the measure of angle [tex]2[/tex] ?

Remember that

In a rhombus consecutive angles are supplementary

so

[tex]m<S+m<T=180\°[/tex]

[tex]m<S=2*53\°=106\°[/tex]

[tex]m<T=180\°-106\°=74\°[/tex]

The measure of angle [tex]2[/tex] is equal to the measure of angle T divided by [tex]2[/tex]

[tex]m<2=74\°/2=-37\°[/tex]


Jahsehliveonforever

unit 2 lesson 4 quick check

1: D (53)

2: C (37)

3: B (1)

4: A (4)

5: C (22)

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