Question

Q2) Find the measure of the angles x and y in the given figure.
с
45°
D
оху
63°
А
B
Q3) Five of the angles of a hexagon are each 115". Calculate the measure of
the sixth angle.
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Answer 1

Answer:

2.y=135 degrees(linear pair)

exterior angles =sum of two interior opposite angle

135=63+x

x=135-63

x=72 degrees

3.sum of angles of hexagon =720 degrees

5 angles are equal to 115 degrees each

in total they are 575 degrees

6th angle =720-575=145 degrees

Answer 2

Step-by-step explanation:

Q2<AOB=45° vertically opposite angles

x+45+63=180

x+108=180

x=180-108=72°

y+45=180°

y=180-45=135°

Q3 angle sum of hexagon is 720°

115×5+x=720

575+x=720

x=720-575=145°