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To find the area of triangle ABC with AB = 6, BC = 8, and angle ABC = 90 degrees, we can use the formula for the area of a right triangle:

Area = (1/2) * base * height

In this case, AB is the base and BC is the height:

Area = (1/2) * AB * BC

= (1/2) * 6 * 8

= 24 square units.

Therefore, the area of triangle ABC is 24 square units.

Now, let's find angle BAC when angle ABC = 135 degrees and angle ACB = 30 degrees.

The sum of the angles in a triangle is always 180 degrees. So, we can find angle BAC by subtracting the sum of angles ABC and ACB from 180 degrees: Angle BAC = 180 degrees - Angle ABC - Angle ACB

= 180 degrees - 135 degrees - 30 degrees

= 180 degrees - 165 degrees

= 15 degrees. MyBKExperience Survey

Therefore, angle BAC is 15 degrees.

StittcerJun 13, 2023