In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.
Here, the vertex angle is <A.
Therefore, m<C = m<B.
m<A = 3m<B + 20
m<A + m<B + m<C = 180
3m<B + 20 + m<B + m<B = 180
5m<B + 20 = 180
5m<B = 160
m<B = 32
m<C = m<B = 32
Answer: m<C = 32 deg
Trigonometric Functions:


You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.

Rearrange the formula to find H (PR):

14.463 ~ 14.5
<h2>
14.5°</h2>
Answer: Ken Earned 81$
Step-by-step explanation: Subtract 12 from the total, then divide by 2 because his wife earns double than him, plus 12$ more.
Have a good day :)
Answer:
D:15
Step-by-step explanation:
You divide thirty by two and get 15.
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 


By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC

2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3