Question

If two angles of a quadrilateral are 68 degree and 72 degree and the measure of other two angles are equal then find the angles

Answer 1

The answer is in the photo mark it as brainliest

Answer 2

Step-by-step explanation:

AnswEr :

We've given two Interior angles of the Triangle one angle is 68° and the other angle is 72°.

⠀⠀☯ By using Angle Sum Property of triangle -

(ASP says sum of Interior angle of triangle is 180°.)

$\setlength{\unitlength}{1.5cm}\begin{picture}\thicklines\put(8,1){\line(1,0){3}}\put(8,1){\line(1,1){1.5}}\put(11,1){\line(-1,1){1.5}}\put(8,1){\line(1,1){1.5}}\put(11,1){\line(-1,1){1.5}}\put(8,1.8){\sf{a cm}}\put(10.3,1.8){\sf{b cm}}\put(8.6,0.75){\sf{c cm}}\end{picture}$

$\rule{150}2$

⠀⠀⠀⠀⠀⠀Now, Let's find out the third angle, which is required. Assume that one angle is 'a' & other angle is 'b'.

$:\implies\sf\large a + b + c = 180$

$:\implies\sf\large 68 + 72+ c = 180$

$:\implies\sf\large 140 + c = 180$

$:\implies\sf\large c = 180 - 140$

$:\implies\sf\large c = 40^{\circ}$

Hence, measure of the third angle is 40°. And, all angles of the triangle are 40°, 68° & 32°.