The diagonal BD of quadrilateral ABCD makes triangle ABD and triangle CBD. In triangle ABD, angle A = 75°, angle ABD = 40°. In triangle CBD, angle C = 85°, angle CDB = 35°. Using the two triangles, find the total angle sum of the quadrilateral as a check.

Question

Accepted Answer

360. Triangle ABD: angle ADB = 180 - 75 - 40 = 65. Triangle CBD: angle DBC = 180 - 85 - 35 = 60. Quadrilateral angles: A=75, B = 40+60 = 100, C=85, D = 65+35 = 100. Sum = 75+100+85+100 = 360°.

The diagonal BD of quadrilateral ABCD makes triangle ABD and triangle CBD.
In triangle ABD, angle A = 75°, angle ABD = 40°.
In triangle CBD, angle C = 85°, angle CDB = 35°.
Using the two triangles, find the total angle sum of the quadrilateral as a check.

Step-by-Step Solution

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More Class 9 Angle Sum Property of Quadrilaterals practice

The diagonal BD of quadrilateral ABCD makes triangle ABD and triangle CBD.In triangle ABD, angle A = 75°, angle ABD = 40°.In triangle CBD, angle C = 85°, angle CDB = 35°.Using the two triangles, find the total angle sum of the quadrilateral as a check.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum Property of Quadrilaterals practice

The diagonal BD of quadrilateral ABCD makes triangle ABD and triangle CBD.
In triangle ABD, angle A = 75°, angle ABD = 40°.
In triangle CBD, angle C = 85°, angle CDB = 35°.
Using the two triangles, find the total angle sum of the quadrilateral as a check.