The second angle of a triangle is 4 less than the first angle. The third angle is two times the first. Find the three angles.

Respuesta :

The measure of the three angles are 46, 42 and 92 degrees respectively

Sum of angles in a triangle

A triangle is a shape that has 3sides and angles

Let the measure of the angles be x, y and z

If the second angle of a triangle is 4 less than the first angle, then;

y = x - 4

If the third angle is two times the first, then z = 2x

Since the sum of interior angle is 180 degrees, hence;

x + y + z = 180

x +x - 4 + 2x = 180
4x = 184
x = 46

Second angle = x - 4
Second angle = 42 degrees

Third angle = 2(46) = 92 degrees

Hence the measure of the three angles are 46, 42 and 92 degrees respectively

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