Math, asked by dolly7816, 1 year ago


Ques4)The angles of a quadrilateral are in the ratio 1:3:56. Find the measure of the
smallest angle.​

Answers

Answered by MavisRee
0

Answer:

The measure of smallest angle of quadrilateral are 24\textdegree

Step-by-step explanation:

Given that angles of quadrilateral are in ratio 1 : 3 : 5 : 6

Let the angles be x,\hspace{0.1cm}3x,\hspace{0.1cm}5x\hspace{0.1cm}and\hspace{0.1cm}{6x}

We know, sum of angles of quadrilateral is 360\textdegree

Thus, we get

x + 3x + 5x + 6x = 360\\\\15x = 360\\\\x = \frac{360}{15}\\\\x = 24

Thus, measure of each angle is calculated as follows:

1 \times 24 = 24\textdegress

3 \times 24 = 72\textdegress

5 \times 24 = 120\textdegress

6 \times 24 = 144\textdegress

Hence, measure of smallest angle of quadrilateral are 24\textdegree

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