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42 votes
42 votes
What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p â€"" 6 = p 4 84 3p â€"" 6 = p 88 2p â€"" 6 = 88 2p = 94 m∠xbc = °

User Georgeliatsos
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1 Answer

23 votes
23 votes

Answer:

m∠XBC = 135

Explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

User Abiezer
by
2.9k points
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