Answer:
1)x = 30°
2) x = 46°
3) x = 20°
4)x = 53°
Explanation:
Angle sum property of triangle:
The sum of all three angles of a triangle is 180°.
1) x + 60 + 90 = 180
x + 150 = 180
x = 180 - 150
![\sf \boxed{\bf x = 30^\circ}](https://img.qammunity.org/2023/formulas/mathematics/high-school/pzxygtyc4kdpuw63gevnlk7nld0vva4nep.png)
2) 57 + 77 + x = 180
134 + x = 180
x = 180 - 134
![\sf \boxed{\bf x = 46^\circ }](https://img.qammunity.org/2023/formulas/mathematics/high-school/qc7ttpai2l0nfoybirk4q320n523xyv97p.png)
3) 134 + 26 + x = 180
160 + x = 180
x = 180 - 160
![\sf \boxed{\bf x = 20^\circ}](https://img.qammunity.org/2023/formulas/mathematics/high-school/xzyzaolbp7iumcmwsbk3gpr7rh8zwerl7a.png)
4) 65 + 62 + x = 180
127 + x = 180
x = 180 - 127
![\sf \boxed{x = 53^\circ}](https://img.qammunity.org/2023/formulas/mathematics/high-school/l4dbfl1hxu2g99ep8jqr719skmfrk8859d.png)