Question

4

A, B & C lie on a straight line.
BD = CD.
∠
BDC = 50° and
∠
ADB = 10°.
Work out
x
,

Answer 1

55

Explanation:

=55

Answer 2

x = 55degrees

Explanation:

Find the diagram attached

Since triangle DBC is isosceles, the bse angles are equal. Let the base angles be y, hence;

y + y + <BDC = 180

2y + 50 = 180

2y - 180 - 50

2y = 130

y = 65

From triangle ADC;

x + < ADB + <BDC + <DCB = 180

x + 10 + 50 + 65 = 180

x+ 125 = 180

x = 180 - 125

x = 55degrees