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Angle 2 Maths

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5 Angles and constructions

Worked example 5.2


Work out x and y.
B

40° 45°

E
C
105°
D

A

Answer

PL
x is an exterior angle of triangle ABD so x = 40 + 105 = 145°
y is an exterior angle of triangle BCD
Angle BDC = 180° − 105° = 75° because angles on a straight line = 180°
So y = 75 + 45 = 120°

Exercise 5.2
M
The diagrams in this exercise are not drawn to scale.
1 Calculate the sizes of angles a, b and c.

80° b 134°
20°
20° c
45° a
86°
SA

2 a Work out each of the exterior angles b Work out the size of the exterior
shown in this triangle. angle x in this quadrilateral.

x
c
70°
65°

67° b
a 80°

112
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