#
Sum of two angles of a quadrilateral in the

ratio 1:3 is 200°. If the other two angles of the

quadrilateral are equal, find all the four angles of

the quadrilateral. Also, find the measure of all the

exterior angles.

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**Answer:**

The sum of the measures of the interior angles of any quadrilateral can be found by breaking the quadrilateral into 2 triangles.

Since, the measure of the interior angles of any triangle equals 180 degrees,

a+b+c=180

p+q+r=180

Each of the two triangles will contribute 180 degrees to the total for the quadrilateral.

Sum of angles of quadrilateral

= b+(a+p)+q+(r+c)=a+b+c+p+q+r=180+180

=360=4×90

=4 right angles

**Step-by-step explanation:**

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