Question

In triangle abc, angle c is a right angle and cd is the altitude to ab. find the measures of the angles of the triangle cbd and triangle cad if the measure of angle a=65

Answer 1

In triangle ABC, if angle C is a right angle and CD is the altitude to AB, we can find the measures of the angles of triangle CBD and triangle CAD using the given information.

Step-by-step explanation:

In triangle ABC, if angle C is a right angle and CD is the altitude to AB, we can find the measures of the angles of triangle CBD and triangle CAD using the given information. Since angle A is given as 65, angle B can be found as 90 - 65 = 25 degrees.

For triangle CBD:

• Angle C = 90 degrees
• Angle B = 25 degrees
• Angle D = 180 - (90 + 25) = 180 - 115 = 65 degrees

For triangle CAD:

• Angle C = 90 degrees
• Angle A = 65 degrees
• Angle D = 180 - (90 + 65) = 180 - 155 = 25 degrees

Learn more about Triangle angles