Question

in ∆pqr;∆p=30° pq=pr then find measurement of ∆q & ∆r

plz iska ans dijiye​

Answer 1

Answer:

angle q = angle r = 75°

Step-by-step explanation:

∆pqr

as, pq = pr

therefore,

angle q = angle r

( opp.angles to equal opp. sides are also equal )

sum of angles of a triangle = 180°

therefore,

angle p + angle q + angle r = 180°

30° + x + x = 180°

30° + 2x = 180°

2x = 180° - 30°

2x = 150°

x = 150° / 2

x = 75°

that's your answer

Answer 2

Given:

• In triangle PQR, Angle P measures 30° and the sides PQ and PR are equal to each other

To Find:

• The measures of the angles R and angle Q in the triangle.

Understanding the question,

Now, here we have said that the side PQ and PR are equal so, hence the triangle is classified into a equilateral Triangle, Thus, the other two angles Q and R are equal Now, let's apply suitable properties of triangles to find them

Solution:

Since given that the two side are equal it's a equilateral triangle angle are equal.

Now,

• we know that the sum of interior angles in a triangle measure 180° which is nothing but the angle sum property of triangles!

So,

here considering the two unknown angles as x and angle P as 30° which equal 180° let's frame up an equation!

${\underline {\sf{ Equation}}}$

$\longrightarrow \tt \: 30 \degree + x \: + x = 180 \degree \\ \\ \\ \longrightarrow \tt 30 \degree + \: 2x = 180 \degree \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 2x = 180 - 30 \degree \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt 2x = 150 \degree \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \tt \: x = \cancel\frac{150}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \: { \pink{ \boxed{ \tt{ x = 75 \degree}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

• Hence, the measure of angle X is 75°

So,

➪ Angle Q and R = 75°

More to know:

Scalene Triangle:

• A triangle having now two sides equal is known as a scalene triangle in simpler words we can say that all the sides in a scalene triangle are different !

Equlateral Triangle :

• A triangle having all thre equal sides and angles in known as an equilateral triangle, here all the angles in the triangle measure 60° respectively.!

Hopefully this helped uh !