Answer:
<1 = 107°
<7= 92°
Explanation:
<h2>
What is a hexagon?</h2>
A hexagon is a type of polygon with six sides, six vertices and six angles. It's two dimensional and closed as well.
<h3>Finding the missing angles:</h3>
Note:
<h3>Angles on a straight line equal 180°</h3>
Therefore,
88° + <7 = 180°
Subtract 88° from bothsides
88° - 88° + <7 = 180°- 88°
<7 = 92°
164° + < 6 = 180°
subtract 164° from bothsides
164° + < 6 = 180°
164° - 164° + < 6 = 180°- 164°
< 6 = 16°
118° + < 4 = 180°
subtract 118° from bothsides
118° - 118° + < 4 = 180 - 118°
< 4 = 62°
To find angle2
Note:
<h3>Sum of exterior angles of a polygon is equal 360°</h3>
64° + 62° + 57° + <2 + 88° + 16° = 360
combining like terms
64° + 62° + 57° + 88° + 16° + <2 = 360°
287° + <2 = 360°
subtract 287° from bothsides
287°- 287° + <2 = 360° - 287°
<2 = 73°
Calculating for angle 1
< 1 + 73° = 180°
Subtract 73° from bothsides
<1 + 73° - 73° = 180 - 73°
<1 = 107°
Therefore,
< 1 = 107°
< 7 = 92°
