The measure of angle x is 50 degree
Solution:
Given that
Sum of the measures of angle x and angle y is 90
Also given that measure of angle x is 30 less than twice the measure of angle y
Need to determine x.
Twice of angle y = 2y
30 less than twice of angle y = 2y – 30
And as x is 30 less than twice of angle y, we get
x = 2y – 30 ------(1)
Also as sum of measure of two angles is 90 so we get ,
x + y = 90
y = 90 – x -------(2)
On substituting value of y from equation 2 , we get
x = 2(90 – x) – 30
=> x = 180 – 2x – 30
=> x + 2x = 180 – 30
=> 3x = 150
=> x = 50
Hence measure of angle is 50 degree
