Question

(a) In the figure, ABD is a straight line.
Find the value of a
C С
48
A 539
20
D
B​

Answer 1

Answer:

Given:

<BAC=53°

<BCA=48°

Sum of all angles of a triangle=180°

Sum of <BAC and <BCA=53°+48°=101°

<ABC=180°-101°=79°

<ABC and <CBD forms a straight angle which measures 180°

<ABC+<CBD=180°

=79°+ <CBD=180°

=<CBD=180°-79°

=<CBD=101°

Answer 2

a=48°+53°=101°(The sum of the exterior angle is equal to the opposite exterior angle)

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