Answer:
Step-by-step explanation:
1. The measure of an inscribed angle is always half the measure of the arc it forms. Since angle ACB forms arc AB with a measure of 100 degrees, the measure of angle ACB will be equal to .
2. Relating to problem 1, both inscribed angles marked in the figure form the same arc. All inscribed angles forming the same arc will have the same measure. Therefore, the measure of angle GEF is equal to .
Answer:
The measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180° .
Let
Small angle = x
Large angle = y
x + y = 180°.... Equation 1
The measure of the large angle is four more than three times the measure of the small angle
Hence: y = 4 + 3x
We substitute 4 + 3x for y in Equation 1
x + 4 + 3x = 180°
4x + 4 = 180°
4x = 180° - 4
4x = 176
x = 176/4
x = 44°
Solve for y
y = 4 + 3x
y = 4 + 3(44)
y = 4 + 132
y = 136°
Therefore, the measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
2
3x. + 63x + 9x + 189
Step-by-step explanation:
<em>Use</em><em> </em><em>distributive</em><em> </em><em>law</em><em>,</em><em> </em><em>in</em><em> </em><em>other</em><em> </em><em>words</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>second</em><em> </em><em>bracket</em><em> </em><em>terms</em><em> </em>
Answer:
10, or 17.32050
Step-by-step explanation: