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Determine the measure of angle ECB.
Question 1 options:

1)

88.25°

2)

183.5°

3)

176.5°

4)

91.75°

Determine The Measure Of Angle ECB Question 1 Options 1 8825 2 1835 3 1765 4 9175 class=

Sagot :

Mlarsen5000idn

Answer:

4) 91.75

Step-by-step explanation:

7x+20+9x-4=180

16x=164

x=10.25

7(10.25)+20=

71.75+20=91.75

Answer:

You are correct 91.75 is the answer

Step-by-step explanation:

This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so

[tex]7x + 20 + 9x - 4 = 180[/tex]

[tex]16x + 16 = 180[/tex]

[tex]16x = 164[/tex]

[tex]x = 10 \frac{4}{16} [/tex]

[tex]x = 10.25[/tex]

Plug 10.25 into 7x+20

[tex]7(10.25) + 20 = 91.75[/tex]

You are correct

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