Question

in triangle abc D, ab is equal to AC and Angle A is equal to 2x and angle b is equal to X + 10 find the measure of all the angles of triangle ABC​

Answer 1

Answer:

in right angle triangle ABC AB is equal to X by 2 x is equal to X + 2 and ac is equal to X + 3 then what is the value of x In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘