The measure of an exterior angle of triangle is equal to the sum of measures of two interior angles of triangle that are not supplementary with this exterior angles.
In the case of this question this fact sounds as
m∠XBC = m∠BAC + m∠BCA (option 1).
Now if
- m∠XBC=(3p-6)°
- m∠BAC=(p+4)°
- m∠BCA=84°,
then
3p-6=p+4+84 (option 2),
3p-6=p+88 (option 3),
3p-p-6=p-p+88,
2p-6=88 (option 4),
2p-6+6=88+6,
2p=94 (option 5),
p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
Answer: m∠XBC=135°.
Add the two angle measurements together, then subtract by 180. I think this is the Triangle Angle Sum Theorem.
Answer:
Your answer should be x = -3
Step-by-step explanation:
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