ABCD is a quadrilateral, AC is a diagonal and triangle ACD and triangle ACB are congruent. < ACB = 25, < B = 125 , then find <CAD.
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Answer:
angle A+angle B+angle C=180°
angle A+125°+25°=180
angle A +150°=180
angle A=180°-150°
angle cad=30°
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» We know that sum of all angles of a triangle is 180°
★<CAD + <ACB + <ABD = 180°
<CAD + 25° + 125° = 180°
<CAD + 150° = 180°
<CAD = 180° – 150°
<CAD = 30°
°.° So, the measure of angle CAD is 30°.
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