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A side of the triangle below has been extended to form an exterior angle of 136°. Find the value of � x. 136° x° Answer: � = x=

A side of the triangle below has been extended to form an exterior angle of 136°. Find-example-1

1 Answer

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x°=46

Explanation:

There are two methods of solving this question

Method 1:

x°+90°=136° the theorem states that "the sum of two opposite interior is equal to the exterior"

x°=136°-90°

x°=46°

or

Method 2:

136° is on a straight line which is 180°

so, let the other side of the straight line be a.

therefore, 136°+a°=180° theorem {Angle on a straight line}

a°=180°-136°

a°=44°

so, in the triangle is the sum of 180°

a°+90°+x°=180° theorem {Sum of angles in a triangle}

44°+90°+x°=180°

x=180°-134°

x°=46°

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