iGCSE Mathematics (0580) : C4.7 Calculate unknown angles using the geometrical properties: iGCSE Style Questions Paper 1

Question

(a) Find angle x.

(b) What type of angle is x ?

Answer/Explanation

(a)162

(b)obtuse

Question

(a) Find the value of x.

(b) EF is a diameter of the circle.
Find the value of y.

(c) Find the value of z in this isosceles triangle.

Answer/Explanation

(a) 51°

(b) 90°

(c)66°

Question

(a) A quadrilateral has four sides of equal length and two pairs of equal angles.
Write down the mathematical name for this quadrilateral.

(b)

Three of the angles in a quadrilateral are 63°, 74° and 92°.
Work out the size of the fourth angle.

Answer/Explanation

(a)Rhombus

(b)131° 

Question

 Yim knows one angle of an isosceles triangle is 48°.
He says one of the other angles must be 66°.
Explain why Yim is wrong.

Answer/Explanation

Ans:

[Other angle could be] 84

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