Mathematics
Grade9
Easy
Question
The measure of the angle is ______.
- 80
- 58
- 42
- 138
Hint:
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. solve the equation to find x and substitute the value of x to find the angle.
The correct answer is: 58
If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
(10x- 2)°+ (13x+2) ° = 138°
23x° = 138°
x° = 6°
Substituting the value of the x to find the values of angles
(13x+2) °= 13 x 6° + 2° = 78°+2° = 80°
(10x- 2)° = 10 x 6° - 2° = 60° - 2° = 58°.
Therefore, required angle is 58°.
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