The base angles of an isosceles triangle are 15 degrees more than it's 3rd angle. Find the measure of all angles.
Answers
70° , 55° & 55°
Step-by-step explanation:
since it's given in Q we coke to know 2 sides are equal hence 2 angles will be equal !
we even know ,
some of the angles of triangle is 180°
let the angle be x
so according to Q
x + 15
therefore ,
x + x + x + 15 = 180
3x = 180-15
x = 165/3
x = 55
other would be plus 15
= 70
good day
Answer:
a = 50 ° ; b = 65 ° ; c = 65 °
Step-by-step explanation:
Let base angle = x+15 -----------1
Another base angle = x+15 ---------2
The third angle be X -------3
Sum of all the angles of a Triangle is 180 °
By Adding 1+2+3
X+15 + X+15 + X = 180 °
3X + 30 = 180 °
3X = 180 - 30
3X = 150 °
∴ X=150 / 3
X=50 °
By Substituting X
Base Angle X+15 = 50+15
= 65 °
∴ The Values Of Base angle is 65 ° each
The third angle is 50 °
VERIFICATION
65 °+65 °+50 ° = 180 °