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# k12 help

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1.  https://static.k12.com/nextgen_media/assets/8093631-NG_GMT_V_04_U10_Quiz_01.png

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of  ∠A ?

____°

2.  https://static.k12.com/nextgen_media/assets/8093662-NG_GMT_V_04_U10_Quiz_06.png

​ Quadrilateral ABCD ​ is inscribed in a circle.

What is the measure of angle A?

m∠A= °

3.  https://static.k12.com/nextgen_media/assets/8093648-NG_GMT_V_04_U10_Quiz_08.png

Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle B?

4. https://static.k12.com/nextgen_media/assets/8093664-NG_GMT_V_04_U10_Quiz_12.png

​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle A?

°

m∠B= °

5. https://static.k12.com/nextgen_media/assets/8093665-NG_GMT_V_04_U10_Quiz_15.png

​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of angle C?

°

Apr 11, 2018

#1
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1.

A  and C are supplemental

A + 43   = 180    subtract 43 from both sides

A  = 137°

2.

A and C are supplemental...so...

(4x+ 5) + ( x + 15 )  = 180   simplify

5x + 20  = 180     subtract 20 from both sides

5x = 160     divide both sides by 5

x = 32

So  A  = 4(32) + 5    =  133°

Apr 11, 2018
#2
+100571
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3.

B and D are supplemental

4x - 20  + x  = 180      simplify

5x - 20  = 180     add 20 to both sides

5x = 200         divide both sides by 5

x = 40

So...B  =  4(20) - 20   =   60°

Apr 11, 2018
#3
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Thank you!! But what about 4 and 5?

sii1lver  Apr 11, 2018
#4
+100571
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Getting to them after I eat....hold on!!!!

Apr 11, 2018
#5
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Okay thank you! Can I message you more questions froma differnet test as well? Because my friend is that usaually helps me out rn

sii1lver  Apr 11, 2018
#6
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5.

x+116°=180°

x=180°-116°

x=64°

(2(64°)-40)°

128°-40°=88°

angle A=88°

Apr 11, 2018
edited by qualitystreet  Apr 11, 2018