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Two angles of a quadrilateral are of mea...

Two angles of a quadrilateral are of measure `65^@` and the other two angles are equal. What is the measure of each of these two angles?

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To find the measure of each of the two equal angles in the quadrilateral, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Angles**: We know that two angles of the quadrilateral are 65 degrees each. Let's denote the two equal angles as \( x \). 2. **Set Up the Equation**: According to the angle sum property of quadrilaterals, the sum of all four angles must equal 360 degrees. Therefore, we can write the equation: \[ ...
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Knowledge Check

  • The measures of two angles of a quadrilateral are 115^(@) and 45^(@) , and the other two angles are equal. Find the measure of each of the equal angles.

    A
    `120^(@)`
    B
    `105^(@)`
    C
    `100^(@)`
    D
    `130^(@)`

  • Two angles of a quadrilateral measure 85^(@) and 75^(@) respectively. The other two angles are equal. Find the measure of each of these equal angles.

    A
    `110^(@)`
    B
    `102^(@)`
    C
    `100^(@)`
    D
    `120^(@)`

  • One of the angles of a triangle is 110^(@) and the other two angles are equal. What is the measure of each of these equal angles?

    A
    `37^(@)`
    B
    `35^(@)`
    C
    `70^(@)`
    D
    `75^(@)`

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    The measures of two adjacent angles o a quadrilateral re 125^(@) and 35^(@) and the other two angles are equal.Find the measure of each of the equal angles.

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    One of the exterior angles of a triangle is 80^(@) , and the interior opposite angles are equal to each other.What is the measures of each of these two angles?

    The angles of a quadrilateral are 89^(@) and 113^(@) If the other two angles are equal, find the equal angles.

    Three angles of a quadrilateral are equal and the measure of the fourth angle is 120^(@) . Find the measure of each of the equal angles.

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