Question

The adjacent angles of a parallelogram are 17:19, find the
smallest angle.
​

Answer 1

check the attachment for the answer

Answer 2

The smallest angle =85 degrees

Step-by-step explanation:

Let adjacent angles x and y of a parallelogram.

Ratio of x and y=17:19

Suppose angle x=17a

Angle y=19a

We know that

Sum of adjacent angles of a parallelogram=180 degrees

$17a+19a=180$

$36a=180$

$a=\frac{180}{36}=5$

Substitute the values then we get

$\angle x=17(5)=85^{\circ}$

$\angle y=19(5)=95^{\circ}$

Hence, the smallest angle =85 degrees

#Learns more:

https://brainly.in/question/1346832:Answered by Mayank