1: In triangle ABC, the measure of angle A is x degrees, the measure of angle B is 2x degrees and the measure of angle C is 5x degrees. What is the value of x? Express your answer as a decimal to the nearest tenth.
2: Find the value of x in the diagram below.
Thanks so much!
1). The sum of the angle measures of a triangle = 180°
This implies that :
x + 2x + 5x = 180
8x = 180 divide both sides by 8
x = 180/8 = 22.5”
2) The angle marked x° is supplemental to the 75° angle....this is because a transversal that cuts parallel lines makes corresponding angles equal
x + 75 = 180 subtract 75 from both sides
x = 105°