What are the angle measurements OS X and y in each diagram?

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Answer 1 · 2017-10-30T19:54:27

see below

a) # x=180-135=45^0# Angles on a straight line

#" "y=x=45^0" "#Angles in the same segment are equal

b) #" "x=60^0" "# angles of an equilateral triangle are equal

#" "y=120^0" "# Angle subtended the centre of a circle is twice that subtended at the circumference by the same chord.

c)#" "x=15^0" "# Angles in the same segment are equal

#" "y=30^0" "#Angle subtended the centre of a circle is twice that subtended at the circumference by the same chord.

#x=180-(90+55)=35^0" "# Angle subtended at the circumference by a diameter is aright angle.

#" "y=45^0# same reason above. In this case we have an isosceles right angle triangle