FIND THE MEASURE OF ALL THE ANGLES GIVEN IN THE FIGURE
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FIND THE MEASURE OF ALL THE ANGLES GIVEN IN THE FIGURE
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Step-by-step explanation:
( 2x + 30° ) + ( 3x - 80° ) + ( x - 10° ) = 180°
( 2x + 3x + x ) + ( 30° - 80° - 10° ) = 180°
6x - 60° = 180°
6 ( x - 10 )° = 180°
x - 10° = 180° / 6
x - 10° = 30°
x = 30° + 10°
× = 40°
Therefore;
angle ACD = 2x+30° = 2×40°+30° = 80°+30° = 110°
angle DCE = 3x-80° = 3×40°-80° = 120°-80° = 40°
angle ECB = x-10° = 40°-10° = 30°
answer
=> 2x + 30 + 3x - 80 + x - 10 = 180
=> 2x + 3x + x = 180 - 30 + 80 + 10
=> 6x = 180 - 30 + 80 + 10
=> 6x = 150 + 80 + 10
=> 6x = 240
=> x = 240 / 6
=> x = 40
measures
a) 2x + 30
=> 2*40 + 30
=> 80 + 30
=> 110
b) 3x - 80
=> 3*40 - 80
=> 120 - 80
=> 40
c) x - 10
=> 40 - 10
=> 30
hope it helps you... please mark me as brainliest