Answer:
Step-by-step explanation:
1) The sum of angles on a straight line is 180 degrees. Therefore
75 + a + 70 = 180
145 + a = 180
a = 180 - 145 = 35 degrees
2) Sum of the angles in a triangle is 180 degrees. Therefore,
a + b + 95 = 180
35 + b + 95 = 180
130 + b = 180
b = 180 - 130 = 50 degrees
3) c + 95 = 180 degrees (sum of angles on a straight line).
c = 180 - 95 = 85 degrees
4) 70 + c + d = 180 degrees
70 + 85 + d = 180
155 + d = 180
d = 180 - 155 = 25 degrees
5) e = 75 degrees
6) f + e + 75 = 180 degrees
f + 75 + 75 = 180
f + 150 = 180
f = 180 - 150 = 30 degrees
The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
Substituting the algebraic expressions for both angles:
Subtracting 8.6 and 3.5x:
Operating:
The two angles are:
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those:
Answer:
Step-by-step explanation:
Let Q have coordinates x and y
<u>Using midpoint formula we find the values of x and y</u>
- (- 3 + x)/2 = 5 ⇒ -3 + x = 10 ⇒ x = 10 + 3 ⇒ x = 13
- (6 + y)/2 = 8 ⇒ 6 + y = 16 ⇒ y = 16 - 6 ⇒ y = 10
- Q = (13, 10)
