qwerty48
Answered

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In the diagram m ∠ = 102 what is m ∠ G?
A. 51
B. 58
C.78
D. 102

In The Diagram M 102 What Is M G A 51 B 58 C78 D 102 class=

Sagot :

barrettpiper2

Answer:

it's C

and that is because it's 1313

The measure of angle G is 78 degree. for better understanding check the calculation here

Calculation

From the given diagram the measure of angle I is 102 degrees.

In a cyclic quadrilateral,  the sum of opposite angles are supplementary .

The sum of opposite angles are equal to 180 degrees.

[tex]m < I +m < G = 180\\[/tex]

Substitute the value of angle I and solve for angle G

[tex]m < I +m < G = 180\\\\m < I=102\\102+m < G=180\\[/tex]

subtract 102 on both sides

[tex]102-102+m < G=180-102\\m < G=78[/tex]

The measure of angle G is 78 degrees.

Option C is correct

Learn  more information about 'Cyclic quadrilateral ' here

brainly.com/question/24142962

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