Question

13. In the given figure, AD = BD = BC and angleABD = 38°, compute the measures of x, y and z. ​

Answer 1

Answer:

In the given figure, if ∠ADE=∠B, show that ΔADE∼ΔABC. If AD=3.8cm,AE=3.6cm,BE=2.1cm and BC=4.2cm, find DE.

1713978

Answer 2

from triangle ABD

Given AD=BD

then <ABD=<BAD

so,ABD+BAD+ADB=180

38+38+ADB=180

ADB=104

From triangle BDC

BC=BD,<BDC=<DCB

so,DBC+BDC+DCB=180

y+z+DCB=180

y+2z=180

from figure y=104

104+2z=180

2z=76

z=38

Therefore x=38,y=104,z=38