Question

In ∆xyz, angle x : angle y : angle z = 1:4:4 then z = ??​

Answer 1

Answer:

in triangle XYZ

angle X:angle Y:angle Z=1:4:4

But..we knows that.....

the addition of 3 angles of a triangle =180°

so in this triangle ...::

angle X +angle Y+angle Z=180°

if here the constant is P

then....

angle X =P

angle Y=4p

angle Z=4P

then....

P+4P+4P=180°

9P=180°

P=180°/9=20°

SO, ANGLE Z=4P=4×20°=80°

I THINK IT HELPS YOU....✌✌

Answer 2

Answer:

The internal bisector of ∠X meets YZ at P

XZ

XY

=

PZ

YP

(Angle bisector theorem)

Add 1 on both the sides

⇒

XZ

XY

+1=

PZ

YP

+1

⇒

XZ

XY+XZ

=

PZ

YP+PZ

=

PZ

YZ

please mark as brainliest.....