The answer is 45 because if you divide 84 and 2 you get 42 and then add 3
9514 1404 393
Explanation:
<h3>8.</h3>
An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
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<h3>9.</h3>
For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
madarchod bhosadike bhen ke lode etc
The measure of m<JMO is 20 degrees
The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.
<h3>Angle at a point</h3>
- The sum of the angle at a point is 360 degrees.
Since the base angles of triangle KOL and OLM are equal hence;
- m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)
Substitute the base angles and the equilateral angles to get angle JOM
80 + 80 + m<JOM + 60 = 360
m<JOM = 360 - 360 - 220
m<JOM = 140 degrees
<h3>Sum of angles in a triangle</h3>
Since the sum of angle in the triangle JOM is 180 degrees, hence;
2m<JMO + m<JOM = 180
2m<JMO = 180 - 140
2m<JMO = 40
m<JMO = 20 degrees
Hence the measure of m<JMO is 20 degrees
Learn more on angles here: brainly.com/question/25770607
Answer:
Angle A = 30.8
Angle B = 33.2
Step-by-step explanation:
180 - 116 = 64
This means that the other two angles need to add up to 64.
I just plugged in numbers until it worked.
I got that x = 14.6
2x + 4
2(14.6) + 4
29.2 + 4
33.2
3x - 13
3(14.6) - 13
43.8 - 13
30.8
Those are your angles. To make sure they are correct you just need to add up all the angles and make sure that they equal to 180.
116 + 33.2 + 30.8 =
180
