Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
1. Draw a circle
2. Keeping your compasses open the same distance stick the point on the edge of the circle and draw two little arcs that cut the circle.
3. Stick the point in one the arcs and draw another arc further along the circle. Repeat until you have 6 arcs marked.
4. Use a ruler or straight edge to join up the arcs.
Answer:
4/4 quarters
Step-by-step explanation:
hope this will help you
Both angles are complementary and add up to 90 degrees. If you do that in an equation it should be like this:
2x + 14 + x + 7 = 90
Simplify:
3x + 21 = 90
3x = 69
X = 23
Now just plug that into angle CBD and you get:
2(23) + 14 = y
46 + 14 = y
60 = y
Angle CBD is 60 degrees