Mathematics: The measures of the angles of A ABC are given by the expressions in the table. Angle Measure (6 - 1) 20° (x + 14) What are the measures of angles A and C? Enter your answers in the boxes mZA= mZC=

$35Step-by-step explanation:1. 85/1.72. you get 503. 85-50...

The measures of the angles of A ABC are given - id5202432, contrerasdaisy100

thompsonjeremiah837

19.01.2022

Question:

The measures of the angles of △ABC are given by the expressions in the table. Angle Measure

A (6x−1)°

B 20°

C (x + 14)°

What are the measures of angles A and C? Enter your answers in the boxes.

m∠A= º

m∠C= º

The measures of the angles A and C are $\angle A=125^{\circ}$ and $\angle \mathrm{C}=35^{\circ}$

Explanation:

The measures of angles of ΔABC are $\angle A =(6x-1)^{\circ}$ , $\angle B=20^{\circ}$ and $\angle C=(x+14)^{\circ}$

By angle sum property, we have,

$\angle A+ \angle B+ \angle C = 180^{\circ}$

6x-1+20+x+14=180

7x+33=180

7x=147

x=21

Thus, substituting x=21 in $\angle A =(6x-1)^{\circ}$ , we get,

$\angle A =(6x-1)^{\circ}=(6(21)-1)^{\circ}$

$\angle A = 126-1$

$\angle A=125^{\circ}$

Also, substituting x=21 in $\angle C=(x+14)^{\circ}$ , we get,

$\angle C=(x+14)^{\circ}=(21+14)^{\circ}$

$\angle \mathrm{C}=35^{\circ}$

Hence, the value of A and C are $\angle A=125^{\circ}$ and $\angle \mathrm{C}=35^{\circ}$

0,0(0 оценок)