Question

a straight angle is split into two smaller angles as shown the smaller angles measurement is 1/6 that of a straight angle what is the value of the angle a

Answer 1

Assuming that angle a is the smaller angle, angle A measures 30 degrees

Answer 2

Straight angle, which is split into two smaller angles the measure of the angle a is 150 degrees.

What is the property of a straight angle?

The property of straight angle says that, the angle of a straight line is equal to the 180 degrees.

It can also be define as the sum of all the angle made on the straight line is equal to the 180 degrees.

It is given that, the straight angle is split into two smaller angles. Thus by the property of straight angle the sum of these two angle should be equal to 180 degrees.

Suppose the one smaller angle is measure of x degrees. As smaller angles measurement is 1/6 that of a straight angle and the angle of a straight line is equal to the 180 degrees.

Therefore, the measure of the smaller angle is,

$x=\dfrac{1}{6}\times180\\x=30^o$

Thus, the angle of the smaller angle is 30 degrees.

As by the property of straight angle the sum of these two angle should be equal to 180 degrees. Thus, the sum of angle a and smaller angle should be equal to 180 degrees as,

$a+30=180\\a=180-30\\a=150^o$

Thus, the measure of the angle a is 150 degrees.

Learn more about the a straight angle here;

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