From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
By carefully observing the figure shown:
<MSR is vertically opposite to <NST
Vertically opposite angles are equal
m<NST = (17x + 15)
<NST is alternative to <PTS
Alternative angles are equal
Therefore, m<NST = m<PTS
m<NST = 17x + 15
m<PTS = 19x + 5
17x + 15 = 19x + 5
19x - 17x = 15 - 5
2x = 10
x = 10/2
x = 5
m<NST = 17x + 15
m<NST = 17(5) + 15
m<NST = 100°
Since m<MSR = m<NST
m<MSR = 100°
m<PTS = 19x + 5
m<PTS = 19(5) + 5
m<PTS = 100°
m<PTS + m<STQ = 180° (Sum of angles on a straight line)
100 + m<STQ = 180
m<STQ = 180 - 100
m<STQ = 80°
From the figure shown where MN is parallel to PQ:
m<MSR = 100°
m<STQ = 80°
Learn more here: brainly.com/question/25022812
Answer:
20+70=90
Step-by-step explanation:
The missing angle is 25. A triangle is always equal to 180° so you would subtract your know angles from 180 to find the missing angle
75+80+x=180 would be the equation
We can use the points (2, 8) and (4, 12) to solve.
Slope formula: y2-y1/x2-x1
= 12-8/4-2
= 4/2
= 2
Based on the question, we need to put the equation in slope-intercept form (y = mx + b).
Let's solve for the y-intercept. (We can use the point 2, 8 to solve).
y = 2x + b
8 = 2(2) + b
8 = 4 + b
8 - 4 = 4 + b - 4
4 = b
Now, that we know what the slope and y-intercept is we can put this into the final equation.
y = 2x + 4 (third option)
Best of Luck!
