Question

Work out the size of angle x of a triangle

Answer 1

x = 46 degrees.

Explanation:

The base angles are 180 - 96 = 84 degrees

and 180 - 130 = 50 degrees.

As there are 180 degrees in a triangle x = 180 - (84 + 50)

= 180 - 134

= 46 degrees,

Answer 2

x = 46

Explanation:

130 is the exterior angle of the triangle,

Its interior angle

= 180 - 130

= 50

96 is the exterior angle of the triangle,

Its interior angle

= 180 - 96

= 84

Now,

x, 50 and 84 are the interior angles,

Sum of interior angles of a triangle is 180,

50 + 84 + x = 180

134 + x = 180

x = 180 - 134

x = 46