Question

Immediate help please

Answer 1

Answer:

in d), angle b=90 degrees, angle a= 55 degrees in e), x=118 degrees

Step-by-step explanation:

in d), angle b= 90 degree as,

angle in a semicircle is always 90 degrees.

therefore b= 90

35+ angle b+angle a =180 degrees        (Angle Sum Property of Triangles)

35+90+a=180                                            (Putting b=90 degrees)

125+a=180

a=180-125

a=55 degrees.

in e) let the topmost angle be a.

angle a = 1/2 of angle o= 1/2 X 124 degrees ( angle formed by a common arc at the center is twice the angle formed by it at the boundary of the circle)

therefore, angle a= 62 degrees.

now angle a + angle x = 180 degrees  ( sum of opposite angles of a cyclic quadrilateral = 180 degrees)

therefore 62+ angle x=180 degrees    (putting a= 62 degrees)

x=180-62

x=118 degrees.

Hope this helps.

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