Question

Find the value of (a + b) – (e + f) + (c + d), if
WVU = 90°
​

Answer 1

Answer:

70°

Step-by-step explanation:

As we know that,

The sum of three angles of a triangle is 180°.

Now,

In ∆VRZ,

a+b+90°=180°

a+b=180°-90°

a+b=90° ------(1)

In ∆SNY,

e+f+60°=180°

e+f=180°-60°

e+f=120° ------(2)

In ∆PXT,

c+d+80°=180°

c+d=180°-80°

c+d=100° ------(3)

On combining eqns (1),(2)&(3),

(a+b)-(e+f)+(c+d)

=90°-120°+100°

=190°-120°

=70°.