We are asked to find the size of angle $DAB$ in a quadrilateral $ABCD$. We are given that angle $ADC = 98^{\circ}$, angle $BCD = 90^{\circ}$ (right angle) and angle $ABC = 69^{\circ}$.

GeometryQuadrilateralsAnglesAngle Sum Property
2025/6/17

1. Problem Description

We are asked to find the size of angle DABDAB in a quadrilateral ABCDABCD. We are given that angle ADC=98ADC = 98^{\circ}, angle BCD=90BCD = 90^{\circ} (right angle) and angle ABC=69ABC = 69^{\circ}.

2. Solution Steps

The sum of the interior angles of a quadrilateral is 360360^{\circ}. Therefore, we have:
angleDAB+angleADC+angleDCB+angleCBA=360angle DAB + angle ADC + angle DCB + angle CBA = 360^{\circ}
We are given the measures of angleADCangle ADC, angleDCBangle DCB and angleCBAangle CBA.
angleADC=98angle ADC = 98^{\circ}
angleDCB=90angle DCB = 90^{\circ}
angleCBA=69angle CBA = 69^{\circ}
Substituting these values into the equation, we get:
angleDAB+98+90+69=360angle DAB + 98^{\circ} + 90^{\circ} + 69^{\circ} = 360^{\circ}
angleDAB+257=360angle DAB + 257^{\circ} = 360^{\circ}
angleDAB=360257angle DAB = 360^{\circ} - 257^{\circ}
angleDAB=103angle DAB = 103^{\circ}

3. Final Answer

The size of angle DABDAB is 103103^{\circ}.

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