Find the value of x for the triangleA- 130-B - 65-C- 85-D- 110-

The correct option is B 65^∘ Sum of all interior angles of a triangle is 180^∘ (x+8)^∘ + (x 3)^∘ +(45)^∘ = 180^∘ (2x)^∘ + (5)^∘ +(45)^∘ = 180^∘ (2x)^∘ + (50)^∘ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Angle Sum Property of Triangle

Find the valu...

Question

Find the value of $x$ for the triangle

$130^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$65^{\circ}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$85^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$110^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$65^{\circ}$

Sum of all interior angles of a triangle is $180^{\circ}$
$(x + 8)^{\circ} + (x - 3)^{\circ} + (45)^{\circ} = 180^{\circ}$
$(2 x)^{\circ} + (5)^{\circ} + (45)^{\circ} = 180^{\circ}$
$(2 x)^{\circ} + (50)^{\circ} = 180^{\circ}$
$(2 x)^{\circ} = 180^{\circ} - (50)^{\circ}$
$(2 x)^{\circ} = 130^{\circ}$
$(x)^{\circ} = (\frac{130}{2})^{\circ}$
$(x)^{\circ} = 65^{\circ}$

Suggest Corrections

Similar questions

Angles of a quadrilateral are given as $85^{\circ}, 95^{\circ}, x^{\circ}, (x + 10)^{\circ}$ .
Find the value of $x$ .

$Δ B E F$ and $Δ F E D$ are two isosceles triangles in the square ABCD.

What is the measure of $∠ F B E$ ?

Find the value of y, when x = 60 $^{0}$ in the figure below.

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

In the figure given below, if OP || RS, ∠OPQ=110^o and ∠QRS=130^o, then ∠PQR is equal to:

Join BYJU'S Learning Program

Find the value of x for the triangle

The correct option is B 65∘ Sum of all interior angles of a triangle is 180∘ (x+8)∘+(x−3)∘+(45)∘=180∘ (2x)∘+(5)∘+(45)∘=180∘ (2x)∘+(50)∘=180∘ (2x)∘=180∘−(50)∘ (2x)∘=130∘ (x)∘=(1302)∘ (x)∘=65∘

Find the value of $x$ for the triangle