Question

11. One angle of a triangle is 30° and the other two angles are equal. What will be the measure of each of the these?


plz give right answer​

Answer 1

Step-by-step explanation:

VERIFIED ANSWER

let x be the 2 equal angles of triangle

Sum of angles of a triangle is 180°

x+x+30°=180°

2x+30°=180°

2x=180°–30°

2x=150°

X=150°/2=75°

Measure of each angles are 130°,75°,75°.

Hope it helps you :)

Answer 2

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• One angle of a triangle is 30° and the other two angles are equal. What will be the measure of each of the these?

$\Large\green{\qquad\underline{\pmb{{ \mathbb { \maltese  \:  GIVEN \:  \maltese }}}}}$

• One angle of a triangle is 30° and the other two angles are equal

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• The sum of measure of all three angle of triangle is 180°

$\large \mathfrak{ \text{W}e \: \text{K}now }$

• The One angle of a triangle is 30°

$\Large \orange{\qquad \underline{ \pmb{{ \mathbb{ \maltese  \: Consider \:  \maltese }}}}}$

• Lets consider the other two angles of triangle be a and a respectively.

$\large \mathfrak{ \text{W}e \: \text{K}now }$

• The sum of measure of all three angle of triangle is 180°

$\huge\bold\green{Then}$

$\huge\boxed{\fcolorbox{red}{ink}{SOLUTION:}}$

$a +a + 30 °= 180° \\ \\ 2a + 30° = 180° \\ \\ 2a = 180 °- 30° \\ \\ 2a = 150 °\\ \\ a = \frac{150°}{2}\\ \\ a = 75°$

${\pmb{\frak{\underline{Therefore}}}}$

${\pmb{\frak{\underline{Answer}}}}$

• ➽ The measure of all three Angle of triangle is 75°,30°,75° .