I need help with number 7 ith naar the length olorthe 2 ol u

I need help with number 7

ith naar the length olorthe 2 ol unknoore n era 30 60.00 triangle given the longes leg measures em ,HBC for the relationships given Find the measures of all three angles in SUCircle the correct description orthe triangle Find the measure of the 3rd angle and name the sides accordingly.

Solution

= 4x +10

we know that angle in a straight line = 180^o

==> A + = 180^o ==> A = 180^o -

==> A = 180 - (4x +10) = 170 -4x

we know that sum of angles in a triangle = 180^o

==> A + B + C = 180^o

==> (170 -4x) + (2x +10) + 72 = 180

==> 252 - 2x = 180

==> 2x = 252 - 180

==> 2x = 72

==> x = 36

==> A = 170 -4x = 170 - 4(36) = 26^o

==> B = 2x +10 = 2(36) + 10 = 82^o