Question

find the values of the angles X Y and Z in the figure a​

Answer 1

$\huge\color{red}\boxed{\colorbox{black}{Answer}}$

• First apply the formula of angles in a straight line =180
• As we can see 40° and y are lying in the same line so now we will subtract 40 from 180 to find y
• 180°- 40°=140°
• Y = 140°
• Now y and z also are in the same line so we will apply the same formula again
• as y = 140 so now we will subtract 140 from 180
• 180° - 140° = 40°
• so z = 40°
• Now we know all the angles exept x
• So now to find x
• we will apply another formula
• Sum of all angles = 360°
• So we need to add all angles exept x and then subtract it by 360°
• 40+25+40+140 = 245
• now subtract 360 - 245 = 115
• So x = 115°

Hope you understood