Question

For question 6 what is that value of x? For question 7 find m

Answer 1

(6) Given that in ΔPQR, m∠P = (x+14)°, m∠Q = (6x-12)° and m∠R = (3x+8)°

We need to determine the value of x.

Value of x:

By triangle sum property, we have;

$\angle P+\angle Q+\angle R=180^{\circ}$

Substituting the values, we get;

$x+14+6x-12+3x+8=180$

                          $10x+10=180$

                                  $10x=170$

                                      $x=17$

Thus, the value of x is 17

(7) Given that ΔGHI, m∠G = (4x+13)°, m∠H = (8x-52)° and m∠I = (2x+4)°

We need to determine the measure of ∠G

Value of x:

By triangle sum property, we have;

$\angle G+\angle H +\angle I=180$

Substituting the values, we get;

$4x+13+8x-5+2x+4=180$

                          $14x+12=180$

                                  $14x=168$

                                      $x=12$

Thus, the value of x is 12.

The measure of ∠G:

Substituting x = 12 in m∠G = (4x+13)°, we get;

$m\angle G=(4(12)+13)^{\circ}$

$m\angle G=(48+13)^{\circ}$

$m\angle G=61^{\circ}$

Thus, the measure of angle G is 61°