Question

1. Two angles of a triangle are 30° and 80°. Find the third angle. 2. One of the angle of a triangle is 80° and the other two angles are equal. Find the measure of each of the equal angles.​

Answer 1

Step-by-step explanation:

answer 1:- The sum of the interior angles of a triangle are equal to 180 o .To find the third angle of a triangle when the other two angles are known subtract the number of degrees in the other two angles from 180o

.Therefore180 o −30 o −80 o =70 o .

answer 2:- So according to angle sum property of triangle, the sum of all the interior angles of a triangle sum up to 180°. Hence the angle measure of the two equal angles are 50°.

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Answer 2

$\huge{\mathcal{\underline\green{Question}} }$

1. Two angles of a triangle are 30° and 80°. Find the third angle.

2. One of the angle of a triangle is 80° and the other two angles are equal. Find the measure of each of the equal angles.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

1.

$\huge\boxed{\blue{Given :}}$

➣ One angle of a triangle = 30°

➣ Second angle of a triangle = 80°

$\huge\boxed{\red{To \: Find :}}$

➣ Third angle of a triangle

$\huge\boxed{\pink {Solution :}}$

➪ Let the third angle of the triangle be x

➪ By using Angle Sum Property of triangle

➪ Sum of angles in a triangle = 180°

⇒ 30° + 80° x = 180°

⇒ 110° + x = 180°

⇒ x = 180° - 110°

⇒ x = 70°

➦ So, the third angle of the triangle measure 70°

2.

$\huge\boxed{\blue{Given :}}$

➣ One angle of the triangle = 80°

$\huge\boxed{\red{To \: Find :}}$

➣ Second angle of the triangle

➣ Third angle of the triangle

$\huge\boxed{\pink {Solution :}}$

➪ Let the second and third angle of the triangle be x.

➪ By using Angle Sum Property of triangle

➪ Sum of angles in a triangle = 180°

⇒x + x + 80° = 180°

⇒2x + 80° = 180°

⇒2x = 180° - 80°

⇒2x = 100°

⇒x = $\frac{100} {2}$

⇒x = 50°

➦ So, the other two angles of the triangle measure 50° each.