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1 answer:
Note that the angle whose measure is 
is an exterior angle.
Thus, the sum of the measures of this exterior angle, and the 2 opposing interior angles is not 180°.
It is the sum of the measure of its supplementary angle, and the other 2 opposing interior angles, which is equal to 180°.
So first, we find the measure of the supplementary angle (which is the third interior angle):
180°-(2x-12)°=180°-(2x)°+12°=192°-(2x)°.
Second, the sum of the measures of the interior angles is 180°, so:
192°-(2x)°+30°+x°=180°
192°-180°+30°=(2x)°-x°
42°=x°
So, x=42.
The measure of the exterior angle is thus:
(2x-12)°=(2*42-12)°=(84-12)°=72°
Answer: 72°
Thus, the sum of the measures of this exterior angle, and the 2 opposing interior angles is not 180°.
It is the sum of the measure of its supplementary angle, and the other 2 opposing interior angles, which is equal to 180°.
So first, we find the measure of the supplementary angle (which is the third interior angle):
180°-(2x-12)°=180°-(2x)°+12°=192°-(2x)°.
Second, the sum of the measures of the interior angles is 180°, so:
192°-(2x)°+30°+x°=180°
192°-180°+30°=(2x)°-x°
42°=x°
So, x=42.
The measure of the exterior angle is thus:
(2x-12)°=(2*42-12)°=(84-12)°=72°
Answer: 72°
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3² = 3 X 3 = 9
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= 2 x 2 x 2 x 2 x 2 x 2 = 64
The exact value in fractions are:
a) 1/9
b) 1/64
c) 1/64
<h3>What is a fraction?</h3>A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
= 1/3²
3² = 3 X 3 = 9
= 1/9
= 1/4³
4³ = 4 x 4 x 4 = 64
= 1/64
= 1/
= 2 x 2 x 2 x 2 x 2 x 2 = 64
= 1/64
Thus.,
The exact value in fractions are:
a) 1/9
b) 1/64
c) 1/64
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