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JAMB Mathematics 2013 Paper

Question : 34

Total: 47

The value x in the figure given is

Solution:

Concept:

The sum of the interior angles of a triangle is

180^\circ

Explanation:

In the given figure, the angle adjacent to the exterior angle

x

inside the triangle is

180^\circ - x

The other two interior angles of the triangle are

60^\circ

and

70^\circ

Using the triangle angle-sum rule:

(180^\circ - x) + 60^\circ + 70^\circ = 180^\circ

Simplify the constants:

310^\circ - x = 180^\circ

Subtract

180^\circ

from both sides:

130^\circ - x = 0^\circ

Therefore:

x = 130^\circ

Answer:

130^\circ

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