Question

14. Refer to the figure. Prove that AC is perpendicular to BC.

Answer 1

See below

Explanation:

Sum of interior angles in a triangle = 180°

∴∠A° + ∠B° + ∠C° = 180°

= 2x° + 4x° + 6x° = 180°

= 12x° = 180°

= x =
`(180)/(12)`

∴ x = 15

Substitute this value of x in Angle C:

= 6x°

= 6(15)°

= 90°

This means AC is perpendicular to BC. Also triangle ABC is a right-angled triangle

Answer 2

It is 90

Explanation:

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