1. The measures of the exterior angles of a convex quadrilateral, one at each vertex are
6x, 4x - 10°, 4x + 10, and 2x + 40. Find the measure of each exterior angles
2.Your father is planning to build a gazebo whose base is a regular decagon. At what angle should you cut the lumber to ftame the base
please pa help po,need ko po ng maayos na sagot.
=/<
6x, 4x - 10°, 4x + 10, and 2x + 40. Find the measure of each exterior angles
2.Your father is planning to build a gazebo whose base is a regular decagon. At what angle should you cut the lumber to ftame the base
please pa help po,need ko po ng maayos na sagot.
=/<
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Answer:
1.),the sum of the interior angles is 360
let the four interior angles be:
A)180-4x-10
B)180-4x+10
C)180-6x
D)180-2x +40
A+B+C+D = 360
180-4x-10+180-4x+10+180-6x+180-2x +40=360
760 - 16x=360
16x = 760-360
16x=400
x=25
the four exterior angles are
1)4x+10=110
2)4x-10=90
3)6x=150
4) 2x+40=90
2.)144° Interior Angles
Sides Of A Regular Decagon: 10 sides
Formula: n= the number of sides
( n - 2 ) × 180°
————————
n
( 10 - 2 ) × 180°
—————————
10
( 8 ) × 180°
———————
10
1 440°
—————
10
=144°
:)