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Zanzabum
3 years ago
9

Two angle of a quadrilateral measure 140 and 80. the other two angels are in a ratio of 3:4. what is the value of x? what are th

e measures of those two angles?​
Mathematics
2 answers:
kaheart [24]3 years ago
7 0

Answer:

60° and 80°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Given 2 angles in ratio 3 : 4 = 3x : 4x ( x is a multiplier )

Sum the 4 angles and equate to 360

140 + 80 + 3x + 4x = 360, that is

220 + 7x = 360 ( subtract 220 from both sides )

7x = 140 ( divide both sides by 7 )

x = 20

Thus

3x = 3 × 20 = 60° and 4x = 4 × 20 = 80°

Marina CMI [18]3 years ago
7 0

Answer:

Step-by-step explanation:

Ratio = 3x : 4x

Sum of angle of a quadrilateral = 360

Therefore, 140+80+3x+4x = 360

220+7x = 360

7x = 360-220

x= 140/7

=20

3x= 3×20=60

4x=4×20=80

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