The first option would be the correct answer because you have the outer angle at 121 degrees and a straight angle adds up to 180 degrees so 121 - 180 = 59. Now you have the original angle on the inside which is 47 degrees and you add 47 + 59 and you get 106. Since this shape is a triangle you would do 180 - 106 to get your last angle which would be 74. Hope this helps!
The locker ? Can you explain more please .
Answer:
131°
Step-by-step explanation:
Since KNJ is a straight line,
∡KNM +∡MNJ= 180° (adj. ∡s on a str. line)
(8x -5)° +(4x -19)°= 180°
<em>Simplify:</em>
12x -24= 180
<em>+</em><em>2</em><em>4</em><em> </em><em>on </em><em>both </em><em>sides</em><em>:</em>
12x= 180 +24
12x= 204
<em>Divide</em><em> </em><em>both </em><em>sides </em><em>by </em><em>1</em><em>2</em><em>:</em>
x= 204 ÷12
x= 17
∡KNM
= (8x -5)°
= [8(17) -5]°
= (136 -5)°
= 131°
Opposite sides of angles are equal so
x+12=4x-48
12+48=4x-x
60=3x
x=60/3
x=20
Answer:
x=-3
Step-by-step explanation:
The quadratic function 
determines the parabola which has the vertex at point (-3,5). The axis of symmetry passes through the vertex and is parallel to the y-axis. Hence, its equation is x=-3 (see attached diagram).
