Question

In triangle ABC, BC is produced to D. angle A= x + 30°,
angle B = 2x + 25° and angle ACD = 5x -5°. Find x
and angle B​

Answer 1

Step-by-step explanation:

From exterior angle theorem(In a triangle, exterior angle is equal to sum of two opposite interior angle)

we get:-

angle ACD=angle B + angle C

I.e.

$5x - 5 = 2x + 25 + x + 30$

$2x = 60$

so,

$x = 30$

And,.

$</strong><strong>A</strong><strong>ngle \: b = 2(30) + 25 = 85</strong><strong>°</strong><strong>$