a side of the triangle below has been extended to form an exterior angle of 136°. find the value of x.
a side of the triangle below has been extended to form an exterior angle of 136°. find the value of x.
Answer
Explanation:
Step1: Recall exterior - angle property
The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Step2: Set up the equation
Let the right - angled triangle have angles (90^{\circ}), (x^{\circ}), and the third angle. The exterior angle of (136^{\circ}) is equal to the sum of the non - adjacent interior angles (90^{\circ}) and (x^{\circ}). So, (136=90 + x).
Step3: Solve for (x)
Subtract (90) from both sides of the equation: (x=136 - 90). (x = 46)
Answer:
(46)