If two of the angles of a triangle are 26- and 59- then the third angle is - 95 Degrees-85 Degrees-105 Degrees-75 Degrees-

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

Byju's Answer

Standard VII

Mathematics

Angle Sum Property

If two of the...

Question

If two of the angles of a triangle are 26° and 59°, then the third angle is _____.

95 Degrees

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

85 Degrees

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

105 Degrees

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

75 Degrees

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

Open in App

Solution

The correct option is A
95 Degrees

Let the third angle be 'x'
From angle sum property of a triangle, we have
$26^{\circ} + 59^{\circ} + x^{\circ} = 180^{\circ} \Rightarrow x = 180^{\circ} - 85^{\circ} \Rightarrow x = 95^{\circ}$

Suggest Corrections

Similar questions

One angle of a triangle is $\frac{2}{3} x$ grades and another is $\frac{3}{2} x$ degrees while the third is $\frac{π x}{75}$ radians. Express all the angles in degrees.

Q. One angle of a triangle

\frac{2}{3}

x grades and another is

\frac{3}{2}

x degrees while the third is

\frac{πx}{75}

radians. Express all the angles in degrees.

If two of the angles in a triangle are 26 degrees and 59 degrees, how large is the third angle?

If the measures of two of the angles of a triangle are 25 degrees and 60 degrees, then the third angle is _____.

Q. The two angles of a triangle are 55 degrees and 65 degrees. Find the third angle.

Join BYJU'S Learning Program

If two of the angles of a triangle are 26° and 59°, then the third angle is _____.

The correct option is A 95 Degrees Let the third angle be 'x' From angle sum property of a triangle, we have 26∘+59∘+x∘=180∘⇒x=180∘−85∘⇒x=95∘

The correct option is A
95 Degrees

Let the third angle be 'x'
From angle sum property of a triangle, we have
$26^{\circ} + 59^{\circ} + x^{\circ} = 180^{\circ} \Rightarrow x = 180^{\circ} - 85^{\circ} \Rightarrow x = 95^{\circ}$