Question

Plz answer this question. tmrwo is my online maths test​

Answer 1

Step-by-step explanation:

the other angle insted of a and b in triangle = 180 - 128 = 52 degrees ( straight line )

as two sides are equal b = 52 degrees.

a + b = 128 ( exterior angle property )

a + 52 = 128

a = 128 - 52

a = 76 degrees.

a = 76 degrees and b = 52 degrees

Answer 2

AnswEr:-

Your Answer Is a = 76° and b = 52°.

ExplanaTion:-

Given:-

• A triangle as in the figure. (Say ABC)

• AB = AC.

To Find:-

• The values of a and b.

Concepts Used:-

• Linear Pair:- Sum of angles making a straight angle is always equal to 180°.

• In a triangle angles opposite to equal sides are always equal.

• Angle Sum Property:- In a triangle sum of all angles is always equal to 180°.

Now,

From The Figure and by linear pair we get:-

↦ <ACD + <ACB = 180°.

↦ 128° + <ACB = 180°.

↦ <ACB = 180° - 128°.

↦ <ACB = 52°.

Since AB = AC Therefore,

↦ b = <ACB.

(Angles Opposite To Equal Sides).

↦ b = 52°.

By Angle Sum Property of a triangle,

↦ a + b + <ACB = 180°.

↦ a + 52° + 52° = 180°.

↦ a + 104° = 180°.

↦ a = 180° - 104°.

↦ a = 76°.

Therefore the required value of 'a' and 'b' is 76° and 52° Respectively.