Answer:
x= 101
Explanation:
Exterior angle of triangle states that the exterior angle of a triangle is the sum of the 2 opposite interior angles. This is abbreviated as 'ext. ∠ of ∆'. Thus using the exterior angle theorem,
x°= 64° +37° (ext. ∠ of ∆)
x°= 101°
x= 101
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Alternative method:
Let the third angle in the triangle be y°.
Since the sum of the angles in a triangle is 180°,
y° +64° +37°= 180° (∠ sum of ∆)
Simplify:
y° +101°= 180°
y°= 180° -101°
y°= 79°
The sum of the angles on a straight line is 180°.
x° +y°= 180° (adj. ∠s on a str. line)
Substitute y°= 79°:
x° +79°= 180°
x°= 180° -79°
x°= 101°
x= 101