Question

5. In the given figure, AB || CD. If ZBAC = (3x + 15)° and
ZACD = (2x + 45), find the value of x.
Also, find the measures of ZBAC and ZACD.​

Answer 1

Explanation:

Given, AB∣∣CD,

Consider AC is transversal.

z=125

o

[∵ Corresponding angles ]

x=180−125

o

[ ∵ sum of angles in a straight line=180

o

]

x=55

o

We know that, sum of all the interior angles in a quadrilateral is 360

o

∠A+∠B+∠C+∠D

x+x+z+y=360

o

55+55+125+y=360

o

⟹y=125

o