Q:

. In a triangle, the second angle measures twice the first, and the thirdangle measures 5 more than the second. If the sum of the anglesmeasures is 180°, find the measure of each angle.please i need sleep

Accepted Solution

A:
Answer:First angle = x = 35° Second angle = 2x = 2(35) = 70° Third angle = 2x+5 = 70 + 5 = 75°Step-by-step explanation:Given : The second angle measures twice the first, and the third angle measures 5 more than the second.Sum of angles = 180°Solution : Let the first angle be x According to the given question : Second angles = 2x Third angle = 2x + 5 we know that Sum of angles = 180°Solving x value : x + 2x + (2x+5) = 180° 5x + 5 = 180 5x = 180 - 5 5x = 175 x = 175/5 x = 35Finding the measure of each angle : First angle = x = 35° Second angle = 2x = 2(35) = 70° Third angle = 2x+5 = 70 + 5 = 75