Question 638246
Call the unknown angles {{{ a }}} and {{{ b }}}
The angles of a triangle always add up to 180 degrees, so
(1) {{{ a + b + 65 = 180 }}}
also given is
(2) {{{ a - b = 25 }}}
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(2) {{{ a = b + 25 }}}
Substitute this into (1)
(1) {{{ b + 25 + b + 65 = 180 }}}
(1) {{{ 2b + 90 = 180 }}}
(1) {{{ 2b = 90 }}}
(1) {{{ b = 45 }}}
and, since
(2) {{{ a = b + 25 }}}
(2) {{{ a = 45 + 25 }}}
(2) {{{ a = 70 }}}
The remaining angles are 45 and 70 degrees
check:
(1) {{{ a + b + 65 = 180 }}}
(1) {{{ 70 + 45 + 65 = 180 }}}
(1) {{{ 180 = 180 }}}
OK