Answer/Step-by-step explanation:
Given:
m<MNQ = 132°
m<Q = 54°
m<P = 3x
1. m<MNQ = m<P + m<Q
Reason: exterior angle theorem of a triangle
Plug in the values
2. 132° = 3x + 54°
Reason: Substitution
3. x = 26
Reason: Algebra
132 - 54 = 3x (substraction property of equality)
78 = 3x
78/3 = x (division property of equality)
26 = x
x = 26
Answer:
BCD is the outer angle of triangle ABC
=> BCD = ABC + BAC
<=> 150⁰ = ABC + 118⁰
=> ABC = 150⁰ - 118⁰
<=> ABC = 32⁰
To Find :-
- The algebraic equations to solve the above problem .
Solution :-
Let ,
- Large number = L
- Small number = S
— According to first statement ,
— According to second statement ,
- 3L + 4S = 54
- 3L + 4S - 54 = 0 .
These equations matches with the second option b .
Option b is the correct answer.
So..... 14 + 3= 17. I think. I mean, this is what I got from what I understand.
