a quadrilateral has 2 angles that measure 100 and 60 degrees the other angles have a ratio of 3:17 . what are the measures of th

Question

Licemer1 [7]

3 years ago

12

a quadrilateral has 2 angles that measure 100 and 60 degrees the other angles have a ratio of 3:17 . what are the measures of th

ose angles?

Mathematics

2 answers:

PtichkaEL [24] · Answer 1 · 2022-04-03T05:38:24+03:00

PtichkaEL [24]3 years ago

7 0

Answer:

30° , 170°

Step-by-step explanation:

Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,

$3x + 17x + 60 + 100 = 360$

$= > 20x + 160 = 360$

$= > 20x = 360 - 160 = 200$

$= > x = \frac{200}{20} = 10$

Putting the value of x , remaining angles are

(3×10 = 30°) & (17×10 = 170°)

Alexandra [31] · Answer 2 · 2022-04-03T07:51:49+03:00

<h2>Answer:</h2><h2>30° and 170°</h2>

Step-by-step explanation:

<h2>the missing angles 3:17</h2><h2>3x+17x+60+100=360°</h2><h2>20x+160=360°</h2><h2>20x=360-160</h2><h2>20x=200°</h2><h2>divide both sides by 20</h2><h2>X=10</h2><h2>substitute X=10 in 3x and 17x</h2><h2>3(10)=30°</h2><h2>17(10)=170°</h2>