BestMaths Online

1.

(a)

a = 37° (s on same arc are equal)

b = 61° (s on same arc are equal)

(b)

c = 43° (alternate angles, parallel lines)

d = 43°(s on same arc are equal)

e = 43° (s on same arc are equal)

(c)

f = 62° (at centre = 2 × at circumference)

g = 62° (s on same arc are equal)

(d)

h = 110°(at centre = 2 × at circumference)

i = 250° (s at a point add to 360°)

j = 125° (at centre = 2 × at circumference)

(e)

k = 96° (at centre = 2 × at circumference)

l = 42°(sum of isos. )

m = 84°(adjacent  s on st.line are supp.)

n = 90° (in semi-circle is 90°)

(f)

p = 57° (s on same arc are equal)

q = 114° (at centre = 2 × at circumference)

r = 57° (base s of isos. )

s = 57° (base s of isos. )

(g)

g = 28° (between tangent and radius is 90°)

h = 124° (sum of isos.)

i = 62° (sum of right-angled Æ is 180°)

j = 62° (base s of isos. )

(h)

t = 60° (s on same arc are equal)

u = 60° (base s of isos. )

v = 30 °(between tangent and radius is 90°)

w = 30° (in semi-circle is 90°)

x = 30° (sum of  is 180°)