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asked Sep 17, 2020 8.9k views

1 Answer

Imperishable Night · Answer 1 · 2020-09-22T15:24:28+0000

Answer:

$x=81\degree$

$y=99\degree$

$z=129\degree$

Explanation:

The sum of the interior angles of a triangle is 180 degrees.

$\implies 51\degree+48\degree+x=180\degree$

$\implies 99\degree+x=180\degree$

$\implies x=180\degree-99\degree$

$\implies x=81\degree$

Use the exterior angles theorem to find y.

The exterior angle y is the sum of the two remote interior angles:

$y=51\degree+48\degree=99\degree$

The sum of angles on a straight line is 180 degrees.

$\implies z+51\degree=180\degree$

$\implies z=180\degree-51\degree$

$\implies z=129\degree$