Question

Find the measure of such angle whose supplementary angle is 35 more than twice of its complimentary angle.​

Answer 1

Answer:Let x be the measure of the angle, s be the measure of the supplement of the angle, and c be the measure of the complement of the angle. By the definition of supplement, we can write x+s=180, or s=180-x, and by the definition of complement, we can write x+c=90, or c=90-x. Since the measure of the supplement it 35 more than twice the measure of the complement, we can write s=2c+35. Substituting in our values for s and c, we have

Step-by-step explanation:180-x = 2(90-x) + 35

180 - x = 180 - 2x + 35

180 - x = 215 - 2x

x + 180 = 215

x = 35

Now solve for s and c:

s = 180 - x

s = 180 - 35

s = 145

c = 90 - x

c = 90 - 35

c = 55

So the measure of the angle is 35, the measure of its supplement is 145, and the measure of its complement is 55.