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Standard VIII

Mathematics

Construct Triangle When Its Base, Difference of the Other Two Sides and One Base Angle Are Given

In a right an...

Question

In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

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Solution

Given: ∠B = 90° and ∠C = 35°

To Find: ∠A

Solution:

In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle)

∠A + 90° + 35° = 180°

∠A = 180° − 125°

∴∠C = 55°

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One of the angles of a triangle is 75^o. If the difference of the other two angles is 35^o, then the larger angle of the other two angles of the triangle has a measure of:

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In a right angled triangle, if one of the other two angles is 35°, find the remaining angle.

Given: ∠B = 90° and ∠C = 35° To Find: ∠A Solution: In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle) ∠A + 90° + 35° = 180° ∠A = 180° − 125° ∴∠C = 55°

Given: ∠B = 90° and ∠C = 35°

To Find: ∠A

Solution:

In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle)

∠A + 90° + 35° = 180°

∠A = 180° − 125°

∴∠C = 55°