Answer:
The exterior angle to the vertex P, measuring 90°
Step-by-step explanation:
The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:
mP = mQ + mR
mP + mQ + mR = 180°
Substituting (mQ + mR) by mP in the second equation, we have:
mP + mP = 180°
mP = 90°
this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.
Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.
So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.
Answer:
b + 3 = 90
b = 87
the answer to the question
Step-by-step explanation:
Answer:
The answer is C because g is the farthest so a 180 degree angle
Answer:
5cm
Step-by-step explanation:
Find the diagram attached.
From ΔBCD, ∠BCD = 90-∠ACD
∠BCD = 90-60
∠BCD = 30°
Also tan60 = CD/BD
tan 60 = CD/5
CD = 5tan60
CD = 5√3 cm
Similarly from ΔACD, tan30 = CD/AD
tan30 = 5√3/AD
AD = 5√3/tan30
AD = 5√3/(1/√3)
AD = 5√3 * √3/1
AD = 5 cm
Hence the length of side AD is 5cm
Your answer is C cause to corresponds to it!