Answer:
<h3>i) Angle AOC is 95°
</h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
</h3>
<h3>
ii) Angle BOC is 85°
</h3><h3>Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
</h3><h3>
Angle AOC is 95°, So:-
</h3><h3>
95° + Angle BOC = 180°
</h3><h3>
Angle BOC= 180° - 95°
</h3><h3>
Angle BOC = 85°
</h3><h3>
</h3><h3>iii) Angle DOE is 17°
</h3><h3>Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
</h3><h3>
So,
</h3><h3>
68° + Angle DOE+ 95° = 180°
</h3><h3>
163° + Angle DOE = 180°
</h3><h3>
Angle DOE= 180° - 163°
</h3><h3>
Angle DOE is 17°</h3>
Answer:
whats the question though?
Step-by-step explanation:
Answer:
B. 68°
Step-by-step explanation:
Since, opposite sides of the quadrilateral MNPQ are parallel.
Therefore, it is a parallelogram.
Measures of the opposite angles of a parallelogram are equal.
So,
(6x - 2)° = (4x + 36)°
6x - 2 = 4x + 36
6x - 4x = 36 + 2
2x = 38
x = 38/2
x = 19
Answer:
y = (-8/9)x + 0.77777
Step-by-step explanation:
We already know the slope, so the only thing left to find is the y-intercept.
To find the y-intercept, we can <u>plug in the slope and point to the slope-intercept form equation</u> (y = mx+b, where m=slope and b=y-int.)
y = m * x + b
(7) = (-8/9)*(-7) + b
<u>Now, just solve for b!</u>
(7) = (-8/9)*(-7) + b
7 = 56/9 + b
7 - (56/9) = b
b = 0.777777 (repeating decimal, usually signified by a little line above the 7)
so now we just <u>plug in the slope and y-intercept we found into y = mx + b.</u>
y = mx + b
y = (-8/9)x + 0.77777
