Answer:
a) ∠TVZ= 95°
Step-by-step explanation:
3a) ∠STY= ∠QTV (vert. opp. ∠s)
3x°= 120°
x°= 120° ÷3
x°= 40
∠TVZ= ∠RVW (vert. opp. ∠s)
∠TVZ= (2x +15)°
∠TVZ= [2(40) +15]°
∠TVZ= (80 +15)°
∠TVZ= 95°
b) Since ∠TVZ and ∠WVZ lies on a straight line,
∠TVZ +∠WVZ= 180° (adj. ∠s on a str. line) -----(1)
∠WVZ= (2x +5)°
∠WVZ= [2(40) +5]°
∠WVZ= (80 +5)°
∠WVZ= 85°
Substitute ∠WVZ= 85° into (1):
∠TVZ +85°= 180°
∠TVZ= 180° -85°
∠TVZ= 95°
Thus, ∠TVZ is indeed 95°.
Notes:
• What is vert. opp. ∠s?
It is an abbreviation used for a property of angles, vertically opposite angles. When two lines intersect each other, the angles facing each other (or the angles on the opposite side of each other) are equal.
• What is adj. ∠s on a str. line?
It is an abbreviation for 'adjacent angles on a straight line'. The sum of all the angles on a straight line is 180°.
3 , 4 and 6 are not correct
Answer:
m<2=97
Step-by-step explanation:
Find the measure of the angle and give the reason for knowing it. 1. m∠1 = 83 reason_Corresponding Angles. 2. m∠2 = 97 reason Supplementary.
Answer:a
Step-by-step explanation:
Answer:
D. n=15.1
Step-by-step explanation:
Solve for the value of n using the equation provided.
14.8=n-0.3 Add 0.3 to both sides
15.1=n
