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2 years ago

Please please please help me i really need help angle c = ___ degrees

Mathematics

1 answer:

OlgaM077 [116]2 years ago

6 0

Answer:

angle c = <u>83</u> degrees

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral add up to 180 degrees.

According to the rule, <D and <B add up to 180° and same for <A and C.

This means that the sum of (x + 100) and (3x) equal 180.

Therefore (x + 100) + (3x) = 180 →

4x + 100 = 180

–100 –100

4x = 80

÷4 ÷4

x = 20.

Since x = 20, <A = 5x – 3 = 5(20) – 3 = 97.

Since <A + <C = 180.

97 + <C = 180 → 97 + <C = 180

–97 –97

<C = 180 – 97 = 83°

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